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Finding the Fourth Proportional to 24,118.28, 33,283.50 and 13,508

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Solution

The fourth proportional to 24,118.28, 33,283.50 and 13,508 is: 18,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118.28 : 33,283.50 = 13,508 : x
  2. Step 2: Convert to fraction form
    24,118.28/33,283.50 = 13,508/x
  3. Step 3: Cross multiply
    24,118.28x = 33,283.50 × 13,508
  4. Step 4: Simplify right side
    24,118.28x = 449,593,518
  5. Step 5: Solve for x
    x = 449,593,518/24,118.28
  6. Step 6: Final answer
    x = 18,641.19

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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.