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Finding the Fourth Proportional to 15,174.59, 22,762.57 and 5,689.16

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Solution

The fourth proportional to 15,174.59, 22,762.57 and 5,689.16 is: 8,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.59 : 22,762.57 = 5,689.16 : x
  2. Step 2: Convert to fraction form
    15,174.59/22,762.57 = 5,689.16/x
  3. Step 3: Cross multiply
    15,174.59x = 22,762.57 × 5,689.16
  4. Step 4: Simplify right side
    15,174.59x = 129,499,934.75
  5. Step 5: Solve for x
    x = 129,499,934.75/15,174.59
  6. Step 6: Final answer
    x = 8,534.00

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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.