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Finding the Fourth Proportional to 15,930.07, 21,983.94 and 9,217.80

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Solution

The fourth proportional to 15,930.07, 21,983.94 and 9,217.80 is: 12,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.07 : 21,983.94 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    15,930.07/21,983.94 = 9,217.80/x
  3. Step 3: Cross multiply
    15,930.07x = 21,983.94 × 9,217.80
  4. Step 4: Simplify right side
    15,930.07x = 202,643,562.13
  5. Step 5: Solve for x
    x = 202,643,562.13/15,930.07
  6. Step 6: Final answer
    x = 12,720.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.