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Finding the Fourth Proportional to 13,729.57, 20,594.46 and 8,989.72

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Solution

The fourth proportional to 13,729.57, 20,594.46 and 8,989.72 is: 13,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.57 : 20,594.46 = 8,989.72 : x
  2. Step 2: Convert to fraction form
    13,729.57/20,594.46 = 8,989.72/x
  3. Step 3: Cross multiply
    13,729.57x = 20,594.46 × 8,989.72
  4. Step 4: Simplify right side
    13,729.57x = 185,138,428.95
  5. Step 5: Solve for x
    x = 185,138,428.95/13,729.57
  6. Step 6: Final answer
    x = 13,484.65

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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.