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Finding the Fourth Proportional to 14,761.72, 20,372.30 and 8,476.12

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Solution

The fourth proportional to 14,761.72, 20,372.30 and 8,476.12 is: 11,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.72 : 20,372.30 = 8,476.12 : x
  2. Step 2: Convert to fraction form
    14,761.72/20,372.30 = 8,476.12/x
  3. Step 3: Cross multiply
    14,761.72x = 20,372.30 × 8,476.12
  4. Step 4: Simplify right side
    14,761.72x = 172,678,059.48
  5. Step 5: Solve for x
    x = 172,678,059.48/14,761.72
  6. Step 6: Final answer
    x = 11,697.69

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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.