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Finding the Fourth Proportional to 19,431.60, 29,161.60 and 7,748.16

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Solution

The fourth proportional to 19,431.60, 29,161.60 and 7,748.16 is: 11,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.60 : 29,161.60 = 7,748.16 : x
  2. Step 2: Convert to fraction form
    19,431.60/29,161.60 = 7,748.16/x
  3. Step 3: Cross multiply
    19,431.60x = 29,161.60 × 7,748.16
  4. Step 4: Simplify right side
    19,431.60x = 225,948,742.66
  5. Step 5: Solve for x
    x = 225,948,742.66/19,431.60
  6. Step 6: Final answer
    x = 11,627.90

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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.