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Finding the Fourth Proportional to 24,464.38, 33,760.74 and 13,853.74

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Solution

The fourth proportional to 24,464.38, 33,760.74 and 13,853.74 is: 19,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.38 : 33,760.74 = 13,853.74 : x
  2. Step 2: Convert to fraction form
    24,464.38/33,760.74 = 13,853.74/x
  3. Step 3: Cross multiply
    24,464.38x = 33,760.74 × 13,853.74
  4. Step 4: Simplify right side
    24,464.38x = 467,712,514.17
  5. Step 5: Solve for x
    x = 467,712,514.17/24,464.38
  6. Step 6: Final answer
    x = 19,118.10

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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.