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Finding the Fourth Proportional to 15,734.52, 21,712.86 and 9,022.86

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Solution

The fourth proportional to 15,734.52, 21,712.86 and 9,022.86 is: 12,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.52 : 21,712.86 = 9,022.86 : x
  2. Step 2: Convert to fraction form
    15,734.52/21,712.86 = 9,022.86/x
  3. Step 3: Cross multiply
    15,734.52x = 21,712.86 × 9,022.86
  4. Step 4: Simplify right side
    15,734.52x = 195,912,095.98
  5. Step 5: Solve for x
    x = 195,912,095.98/15,734.52
  6. Step 6: Final answer
    x = 12,451.10

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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.