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Finding the Fourth Proportional to 15,147.71, 20,902.71 and 8,432.94

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Solution

The fourth proportional to 15,147.71, 20,902.71 and 8,432.94 is: 11,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.71 : 20,902.71 = 8,432.94 : x
  2. Step 2: Convert to fraction form
    15,147.71/20,902.71 = 8,432.94/x
  3. Step 3: Cross multiply
    15,147.71x = 20,902.71 × 8,432.94
  4. Step 4: Simplify right side
    15,147.71x = 176,271,185.47
  5. Step 5: Solve for x
    x = 176,271,185.47/15,147.71
  6. Step 6: Final answer
    x = 11,636.82

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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.