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Finding the Fourth Proportional to 23,537.92, 32,478.72 and 13,600

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Solution

The fourth proportional to 23,537.92, 32,478.72 and 13,600 is: 18,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.92 : 32,478.72 = 13,600 : x
  2. Step 2: Convert to fraction form
    23,537.92/32,478.72 = 13,600/x
  3. Step 3: Cross multiply
    23,537.92x = 32,478.72 × 13,600
  4. Step 4: Simplify right side
    23,537.92x = 441,710,592
  5. Step 5: Solve for x
    x = 441,710,592/23,537.92
  6. Step 6: Final answer
    x = 18,765.91

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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.