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Finding the Fourth Proportional to 24,859.08, 34,305.54 and 13,681

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Solution

The fourth proportional to 24,859.08, 34,305.54 and 13,681 is: 18,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.08 : 34,305.54 = 13,681 : x
  2. Step 2: Convert to fraction form
    24,859.08/34,305.54 = 13,681/x
  3. Step 3: Cross multiply
    24,859.08x = 34,305.54 × 13,681
  4. Step 4: Simplify right side
    24,859.08x = 469,334,092.74
  5. Step 5: Solve for x
    x = 469,334,092.74/24,859.08
  6. Step 6: Final answer
    x = 18,879.79

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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.