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Finding the Fourth Proportional to 29,543.14, 44,299.90 and 9,814.78

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Solution

The fourth proportional to 29,543.14, 44,299.90 and 9,814.78 is: 14,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.14 : 44,299.90 = 9,814.78 : x
  2. Step 2: Convert to fraction form
    29,543.14/44,299.90 = 9,814.78/x
  3. Step 3: Cross multiply
    29,543.14x = 44,299.90 × 9,814.78
  4. Step 4: Simplify right side
    29,543.14x = 434,793,772.52
  5. Step 5: Solve for x
    x = 434,793,772.52/29,543.14
  6. Step 6: Final answer
    x = 14,717.25

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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.