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Finding the Fourth Proportional to 21,298.69, 31,951.12 and 6,505.71

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Solution

The fourth proportional to 21,298.69, 31,951.12 and 6,505.71 is: 9,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.69 : 31,951.12 = 6,505.71 : x
  2. Step 2: Convert to fraction form
    21,298.69/31,951.12 = 6,505.71/x
  3. Step 3: Cross multiply
    21,298.69x = 31,951.12 × 6,505.71
  4. Step 4: Simplify right side
    21,298.69x = 207,864,720.90
  5. Step 5: Solve for x
    x = 207,864,720.90/21,298.69
  6. Step 6: Final answer
    x = 9,759.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.