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Finding the Fourth Proportional to 15,146.68, 20,903.23 and 8,432.90

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Solution

The fourth proportional to 15,146.68, 20,903.23 and 8,432.90 is: 11,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.68 : 20,903.23 = 8,432.90 : x
  2. Step 2: Convert to fraction form
    15,146.68/20,903.23 = 8,432.90/x
  3. Step 3: Cross multiply
    15,146.68x = 20,903.23 × 8,432.90
  4. Step 4: Simplify right side
    15,146.68x = 176,274,848.27
  5. Step 5: Solve for x
    x = 176,274,848.27/15,146.68
  6. Step 6: Final answer
    x = 11,637.85

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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.