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Finding the Fourth Proportional to 19,644.43, 29,443.29 and 9,099.76

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Solution

The fourth proportional to 19,644.43, 29,443.29 and 9,099.76 is: 13,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.43 : 29,443.29 = 9,099.76 : x
  2. Step 2: Convert to fraction form
    19,644.43/29,443.29 = 9,099.76/x
  3. Step 3: Cross multiply
    19,644.43x = 29,443.29 × 9,099.76
  4. Step 4: Simplify right side
    19,644.43x = 267,926,872.61
  5. Step 5: Solve for x
    x = 267,926,872.61/19,644.43
  6. Step 6: Final answer
    x = 13,638.82

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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.