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Finding the Fourth Proportional to 23,366.31, 32,245.10 and 13,294.53

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Solution

The fourth proportional to 23,366.31, 32,245.10 and 13,294.53 is: 18,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366.31 : 32,245.10 = 13,294.53 : x
  2. Step 2: Convert to fraction form
    23,366.31/32,245.10 = 13,294.53/x
  3. Step 3: Cross multiply
    23,366.31x = 32,245.10 × 13,294.53
  4. Step 4: Simplify right side
    23,366.31x = 428,683,553.60
  5. Step 5: Solve for x
    x = 428,683,553.60/23,366.31
  6. Step 6: Final answer
    x = 18,346.22

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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.