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Finding the Fourth Proportional to 14,732.30, 20,335.14 and 9,068.78

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Solution

The fourth proportional to 14,732.30, 20,335.14 and 9,068.78 is: 12,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.30 : 20,335.14 = 9,068.78 : x
  2. Step 2: Convert to fraction form
    14,732.30/20,335.14 = 9,068.78/x
  3. Step 3: Cross multiply
    14,732.30x = 20,335.14 × 9,068.78
  4. Step 4: Simplify right side
    14,732.30x = 184,414,910.93
  5. Step 5: Solve for x
    x = 184,414,910.93/14,732.30
  6. Step 6: Final answer
    x = 12,517.73

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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.