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Finding the Fourth Proportional to 13,346.34, 20,032.47 and 9,672.18

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Solution

The fourth proportional to 13,346.34, 20,032.47 and 9,672.18 is: 14,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346.34 : 20,032.47 = 9,672.18 : x
  2. Step 2: Convert to fraction form
    13,346.34/20,032.47 = 9,672.18/x
  3. Step 3: Cross multiply
    13,346.34x = 20,032.47 × 9,672.18
  4. Step 4: Simplify right side
    13,346.34x = 193,757,655.68
  5. Step 5: Solve for x
    x = 193,757,655.68/13,346.34
  6. Step 6: Final answer
    x = 14,517.66

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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.