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Finding the Fourth Proportional to 15,732.46, 23,587.68 and 5,869.06

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Solution

The fourth proportional to 15,732.46, 23,587.68 and 5,869.06 is: 8,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.46 : 23,587.68 = 5,869.06 : x
  2. Step 2: Convert to fraction form
    15,732.46/23,587.68 = 5,869.06/x
  3. Step 3: Cross multiply
    15,732.46x = 23,587.68 × 5,869.06
  4. Step 4: Simplify right side
    15,732.46x = 138,437,509.18
  5. Step 5: Solve for x
    x = 138,437,509.18/15,732.46
  6. Step 6: Final answer
    x = 8,799.48

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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.