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Finding the Fourth Proportional to 13,641.60, 20,462.22 and 7,440.96

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Solution

The fourth proportional to 13,641.60, 20,462.22 and 7,440.96 is: 11,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.60 : 20,462.22 = 7,440.96 : x
  2. Step 2: Convert to fraction form
    13,641.60/20,462.22 = 7,440.96/x
  3. Step 3: Cross multiply
    13,641.60x = 20,462.22 × 7,440.96
  4. Step 4: Simplify right side
    13,641.60x = 152,258,560.53
  5. Step 5: Solve for x
    x = 152,258,560.53/13,641.60
  6. Step 6: Final answer
    x = 11,161.34

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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.