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Finding the Fourth Proportional to 19,638.60, 29,448.03 and 9,099.57

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Solution

The fourth proportional to 19,638.60, 29,448.03 and 9,099.57 is: 13,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.60 : 29,448.03 = 9,099.57 : x
  2. Step 2: Convert to fraction form
    19,638.60/29,448.03 = 9,099.57/x
  3. Step 3: Cross multiply
    19,638.60x = 29,448.03 × 9,099.57
  4. Step 4: Simplify right side
    19,638.60x = 267,964,410.35
  5. Step 5: Solve for x
    x = 267,964,410.35/19,638.60
  6. Step 6: Final answer
    x = 13,644.78

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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.