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Finding the Fourth Proportional to 24,801.74, 34,226.04 and 13,471.39

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Solution

The fourth proportional to 24,801.74, 34,226.04 and 13,471.39 is: 18,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.74 : 34,226.04 = 13,471.39 : x
  2. Step 2: Convert to fraction form
    24,801.74/34,226.04 = 13,471.39/x
  3. Step 3: Cross multiply
    24,801.74x = 34,226.04 × 13,471.39
  4. Step 4: Simplify right side
    24,801.74x = 461,072,330.04
  5. Step 5: Solve for x
    x = 461,072,330.04/24,801.74
  6. Step 6: Final answer
    x = 18,590.32

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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.