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Finding the Fourth Proportional to 23,364.56, 32,243.82 and 13,294.46

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Solution

The fourth proportional to 23,364.56, 32,243.82 and 13,294.46 is: 18,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.56 : 32,243.82 = 13,294.46 : x
  2. Step 2: Convert to fraction form
    23,364.56/32,243.82 = 13,294.46/x
  3. Step 3: Cross multiply
    23,364.56x = 32,243.82 × 13,294.46
  4. Step 4: Simplify right side
    23,364.56x = 428,664,175.24
  5. Step 5: Solve for x
    x = 428,664,175.24/23,364.56
  6. Step 6: Final answer
    x = 18,346.77

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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.