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Finding the Fourth Proportional to 14,739.43, 20,338.65 and 8,685.09

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Solution

The fourth proportional to 14,739.43, 20,338.65 and 8,685.09 is: 11,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739.43 : 20,338.65 = 8,685.09 : x
  2. Step 2: Convert to fraction form
    14,739.43/20,338.65 = 8,685.09/x
  3. Step 3: Cross multiply
    14,739.43x = 20,338.65 × 8,685.09
  4. Step 4: Simplify right side
    14,739.43x = 176,642,981.10
  5. Step 5: Solve for x
    x = 176,642,981.10/14,739.43
  6. Step 6: Final answer
    x = 11,984.38

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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.