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Finding the Fourth Proportional to 29,221.26, 43,827.75 and 9,500.10

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Solution

The fourth proportional to 29,221.26, 43,827.75 and 9,500.10 is: 14,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221.26 : 43,827.75 = 9,500.10 : x
  2. Step 2: Convert to fraction form
    29,221.26/43,827.75 = 9,500.10/x
  3. Step 3: Cross multiply
    29,221.26x = 43,827.75 × 9,500.10
  4. Step 4: Simplify right side
    29,221.26x = 416,368,007.78
  5. Step 5: Solve for x
    x = 416,368,007.78/29,221.26
  6. Step 6: Final answer
    x = 14,248.80

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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.