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Finding the Fourth Proportional to 24,858.08, 34,304.16 and 13,680

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Solution

The fourth proportional to 24,858.08, 34,304.16 and 13,680 is: 18,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.08 : 34,304.16 = 13,680 : x
  2. Step 2: Convert to fraction form
    24,858.08/34,304.16 = 13,680/x
  3. Step 3: Cross multiply
    24,858.08x = 34,304.16 × 13,680
  4. Step 4: Simplify right side
    24,858.08x = 469,280,908.80
  5. Step 5: Solve for x
    x = 469,280,908.80/24,858.08
  6. Step 6: Final answer
    x = 18,878.41

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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.