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Finding the Fourth Proportional to 14,811,597.16, 20,431,066.46 and 9,782,377.43

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Solution

The fourth proportional to 14,811,597.16, 20,431,066.46 and 9,782,377.43 is: 13,493,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811,597.16 : 20,431,066.46 = 9,782,377.43 : x
  2. Step 2: Convert to fraction form
    14,811,597.16/20,431,066.46 = 9,782,377.43/x
  3. Step 3: Cross multiply
    14,811,597.16x = 20,431,066.46 × 9,782,377.43
  4. Step 4: Simplify right side
    14,811,597.16x = 199,864,403,426,809.16
  5. Step 5: Solve for x
    x = 199,864,403,426,809.16/14,811,597.16
  6. Step 6: Final answer
    x = 13,493,777.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.