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Finding the Fourth Proportional to 24,815, 34,244.70 and 13,637

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Solution

The fourth proportional to 24,815, 34,244.70 and 13,637 is: 18,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815 : 34,244.70 = 13,637 : x
  2. Step 2: Convert to fraction form
    24,815/34,244.70 = 13,637/x
  3. Step 3: Cross multiply
    24,815x = 34,244.70 × 13,637
  4. Step 4: Simplify right side
    24,815x = 466,994,973.90
  5. Step 5: Solve for x
    x = 466,994,973.90/24,815
  6. Step 6: Final answer
    x = 18,819.06

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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.