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Finding the Fourth Proportional to 24,921, 34,390.98 and 13,743

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Solution

The fourth proportional to 24,921, 34,390.98 and 13,743 is: 18,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921 : 34,390.98 = 13,743 : x
  2. Step 2: Convert to fraction form
    24,921/34,390.98 = 13,743/x
  3. Step 3: Cross multiply
    24,921x = 34,390.98 × 13,743
  4. Step 4: Simplify right side
    24,921x = 472,635,238.14
  5. Step 5: Solve for x
    x = 472,635,238.14/24,921
  6. Step 6: Final answer
    x = 18,965.34

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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.