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Finding the Fourth Proportional to 23,633.97, 32,615.56 and 13,024.29

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Solution

The fourth proportional to 23,633.97, 32,615.56 and 13,024.29 is: 17,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.97 : 32,615.56 = 13,024.29 : x
  2. Step 2: Convert to fraction form
    23,633.97/32,615.56 = 13,024.29/x
  3. Step 3: Cross multiply
    23,633.97x = 32,615.56 × 13,024.29
  4. Step 4: Simplify right side
    23,633.97x = 424,794,511.95
  5. Step 5: Solve for x
    x = 424,794,511.95/23,633.97
  6. Step 6: Final answer
    x = 17,973.90

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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.