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Finding the Fourth Proportional to 24,802.08, 34,226.72 and 13,624

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Solution

The fourth proportional to 24,802.08, 34,226.72 and 13,624 is: 18,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.08 : 34,226.72 = 13,624 : x
  2. Step 2: Convert to fraction form
    24,802.08/34,226.72 = 13,624/x
  3. Step 3: Cross multiply
    24,802.08x = 34,226.72 × 13,624
  4. Step 4: Simplify right side
    24,802.08x = 466,304,833.28
  5. Step 5: Solve for x
    x = 466,304,833.28/24,802.08
  6. Step 6: Final answer
    x = 18,801.04

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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.