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Finding the Fourth Proportional to 23,641.30, 32,615.84 and 13,566.10

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Solution

The fourth proportional to 23,641.30, 32,615.84 and 13,566.10 is: 18,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.30 : 32,615.84 = 13,566.10 : x
  2. Step 2: Convert to fraction form
    23,641.30/32,615.84 = 13,566.10/x
  3. Step 3: Cross multiply
    23,641.30x = 32,615.84 × 13,566.10
  4. Step 4: Simplify right side
    23,641.30x = 442,469,747.02
  5. Step 5: Solve for x
    x = 442,469,747.02/23,641.30
  6. Step 6: Final answer
    x = 18,715.97

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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.