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Finding the Fourth Proportional to 23,634.64, 32,614.32 and 13,024.27

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Solution

The fourth proportional to 23,634.64, 32,614.32 and 13,024.27 is: 17,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.64 : 32,614.32 = 13,024.27 : x
  2. Step 2: Convert to fraction form
    23,634.64/32,614.32 = 13,024.27/x
  3. Step 3: Cross multiply
    23,634.64x = 32,614.32 × 13,024.27
  4. Step 4: Simplify right side
    23,634.64x = 424,777,670.80
  5. Step 5: Solve for x
    x = 424,777,670.80/23,634.64
  6. Step 6: Final answer
    x = 17,972.68

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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.