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Finding the Fourth Proportional to 24,801.38, 34,226.21 and 13,471.01

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Solution

The fourth proportional to 24,801.38, 34,226.21 and 13,471.01 is: 18,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.38 : 34,226.21 = 13,471.01 : x
  2. Step 2: Convert to fraction form
    24,801.38/34,226.21 = 13,471.01/x
  3. Step 3: Cross multiply
    24,801.38x = 34,226.21 × 13,471.01
  4. Step 4: Simplify right side
    24,801.38x = 461,061,635.38
  5. Step 5: Solve for x
    x = 461,061,635.38/24,801.38
  6. Step 6: Final answer
    x = 18,590.16

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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.