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Finding the Fourth Proportional to 24,840, 34,279.74 and 13,662

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Solution

The fourth proportional to 24,840, 34,279.74 and 13,662 is: 18,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840 : 34,279.74 = 13,662 : x
  2. Step 2: Convert to fraction form
    24,840/34,279.74 = 13,662/x
  3. Step 3: Cross multiply
    24,840x = 34,279.74 × 13,662
  4. Step 4: Simplify right side
    24,840x = 468,329,807.88
  5. Step 5: Solve for x
    x = 468,329,807.88/24,840
  6. Step 6: Final answer
    x = 18,853.86

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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.