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Finding the Fourth Proportional to 23,651.29, 32,638.17 and 13,040.74

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Solution

The fourth proportional to 23,651.29, 32,638.17 and 13,040.74 is: 17,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.29 : 32,638.17 = 13,040.74 : x
  2. Step 2: Convert to fraction form
    23,651.29/32,638.17 = 13,040.74/x
  3. Step 3: Cross multiply
    23,651.29x = 32,638.17 × 13,040.74
  4. Step 4: Simplify right side
    23,651.29x = 425,625,889.05
  5. Step 5: Solve for x
    x = 425,625,889.05/23,651.29
  6. Step 6: Final answer
    x = 17,995.88

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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.