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Finding the Fourth Proportional to 24,840, 34,279.44 and 13,662.24

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Solution

The fourth proportional to 24,840, 34,279.44 and 13,662.24 is: 18,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840 : 34,279.44 = 13,662.24 : x
  2. Step 2: Convert to fraction form
    24,840/34,279.44 = 13,662.24/x
  3. Step 3: Cross multiply
    24,840x = 34,279.44 × 13,662.24
  4. Step 4: Simplify right side
    24,840x = 468,333,936.35
  5. Step 5: Solve for x
    x = 468,333,936.35/24,840
  6. Step 6: Final answer
    x = 18,854.02

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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.