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Finding the Fourth Proportional to 24,805.04, 34,229.20 and 14,051

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Solution

The fourth proportional to 24,805.04, 34,229.20 and 14,051 is: 19,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.04 : 34,229.20 = 14,051 : x
  2. Step 2: Convert to fraction form
    24,805.04/34,229.20 = 14,051/x
  3. Step 3: Cross multiply
    24,805.04x = 34,229.20 × 14,051
  4. Step 4: Simplify right side
    24,805.04x = 480,954,489.20
  5. Step 5: Solve for x
    x = 480,954,489.20/24,805.04
  6. Step 6: Final answer
    x = 19,389.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.