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Finding the Fourth Proportional to 23,634.33, 32,614.08 and 13,023.14

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Solution

The fourth proportional to 23,634.33, 32,614.08 and 13,023.14 is: 17,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.33 : 32,614.08 = 13,023.14 : x
  2. Step 2: Convert to fraction form
    23,634.33/32,614.08 = 13,023.14/x
  3. Step 3: Cross multiply
    23,634.33x = 32,614.08 × 13,023.14
  4. Step 4: Simplify right side
    23,634.33x = 424,737,566.74
  5. Step 5: Solve for x
    x = 424,737,566.74/23,634.33
  6. Step 6: Final answer
    x = 17,971.21

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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.