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Finding the Fourth Proportional to 24,792.75, 34,214.00 and 13,614.75

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Solution

The fourth proportional to 24,792.75, 34,214.00 and 13,614.75 is: 18,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.75 : 34,214.00 = 13,614.75 : x
  2. Step 2: Convert to fraction form
    24,792.75/34,214.00 = 13,614.75/x
  3. Step 3: Cross multiply
    24,792.75x = 34,214.00 × 13,614.75
  4. Step 4: Simplify right side
    24,792.75x = 465,814,988.43
  5. Step 5: Solve for x
    x = 465,814,988.43/24,792.75
  6. Step 6: Final answer
    x = 18,788.36

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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.