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Finding the Fourth Proportional to 15,494.68, 23,239.59 and 5,632.53

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Solution

The fourth proportional to 15,494.68, 23,239.59 and 5,632.53 is: 8,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.68 : 23,239.59 = 5,632.53 : x
  2. Step 2: Convert to fraction form
    15,494.68/23,239.59 = 5,632.53/x
  3. Step 3: Cross multiply
    15,494.68x = 23,239.59 × 5,632.53
  4. Step 4: Simplify right side
    15,494.68x = 130,897,687.86
  5. Step 5: Solve for x
    x = 130,897,687.86/15,494.68
  6. Step 6: Final answer
    x = 8,447.91

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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.