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Finding the Fourth Proportional to 21,299.69, 31,952.62 and 6,506.71

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Solution

The fourth proportional to 21,299.69, 31,952.62 and 6,506.71 is: 9,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.69 : 31,952.62 = 6,506.71 : x
  2. Step 2: Convert to fraction form
    21,299.69/31,952.62 = 6,506.71/x
  3. Step 3: Cross multiply
    21,299.69x = 31,952.62 × 6,506.71
  4. Step 4: Simplify right side
    21,299.69x = 207,906,432.08
  5. Step 5: Solve for x
    x = 207,906,432.08/21,299.69
  6. Step 6: Final answer
    x = 9,761.01

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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.