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Finding the Fourth Proportional to 23,367.30, 32,245.72 and 13,294.78

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Solution

The fourth proportional to 23,367.30, 32,245.72 and 13,294.78 is: 18,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,367.30 : 32,245.72 = 13,294.78 : x
  2. Step 2: Convert to fraction form
    23,367.30/32,245.72 = 13,294.78/x
  3. Step 3: Cross multiply
    23,367.30x = 32,245.72 × 13,294.78
  4. Step 4: Simplify right side
    23,367.30x = 428,699,753.34
  5. Step 5: Solve for x
    x = 428,699,753.34/23,367.30
  6. Step 6: Final answer
    x = 18,346.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.