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Finding the Fourth Proportional to 14,066.13, 19,410.66 and 7,778.46

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Solution

The fourth proportional to 14,066.13, 19,410.66 and 7,778.46 is: 10,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.13 : 19,410.66 = 7,778.46 : x
  2. Step 2: Convert to fraction form
    14,066.13/19,410.66 = 7,778.46/x
  3. Step 3: Cross multiply
    14,066.13x = 19,410.66 × 7,778.46
  4. Step 4: Simplify right side
    14,066.13x = 150,985,042.38
  5. Step 5: Solve for x
    x = 150,985,042.38/14,066.13
  6. Step 6: Final answer
    x = 10,733.94

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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.