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Finding the Fourth Proportional to 15,585.88, 23,381.87 and 5,725.24

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Solution

The fourth proportional to 15,585.88, 23,381.87 and 5,725.24 is: 8,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.88 : 23,381.87 = 5,725.24 : x
  2. Step 2: Convert to fraction form
    15,585.88/23,381.87 = 5,725.24/x
  3. Step 3: Cross multiply
    15,585.88x = 23,381.87 × 5,725.24
  4. Step 4: Simplify right side
    15,585.88x = 133,866,700.49
  5. Step 5: Solve for x
    x = 133,866,700.49/15,585.88
  6. Step 6: Final answer
    x = 8,588.97

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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.