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Finding the Fourth Proportional to 29,201.28, 43,812.08 and 9,213.85

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Solution

The fourth proportional to 29,201.28, 43,812.08 and 9,213.85 is: 13,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201.28 : 43,812.08 = 9,213.85 : x
  2. Step 2: Convert to fraction form
    29,201.28/43,812.08 = 9,213.85/x
  3. Step 3: Cross multiply
    29,201.28x = 43,812.08 × 9,213.85
  4. Step 4: Simplify right side
    29,201.28x = 403,677,933.31
  5. Step 5: Solve for x
    x = 403,677,933.31/29,201.28
  6. Step 6: Final answer
    x = 13,823.98

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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.