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Finding the Fourth Proportional to 16,397.38, 22,624.95 and 9,680.86

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Solution

The fourth proportional to 16,397.38, 22,624.95 and 9,680.86 is: 13,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.38 : 22,624.95 = 9,680.86 : x
  2. Step 2: Convert to fraction form
    16,397.38/22,624.95 = 9,680.86/x
  3. Step 3: Cross multiply
    16,397.38x = 22,624.95 × 9,680.86
  4. Step 4: Simplify right side
    16,397.38x = 219,028,973.46
  5. Step 5: Solve for x
    x = 219,028,973.46/16,397.38
  6. Step 6: Final answer
    x = 13,357.56

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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.