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Finding the Fourth Proportional to 24,570, 33,907.68 and 13,392

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Solution

The fourth proportional to 24,570, 33,907.68 and 13,392 is: 18,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 33,907.68 = 13,392 : x
  2. Step 2: Convert to fraction form
    24,570/33,907.68 = 13,392/x
  3. Step 3: Cross multiply
    24,570x = 33,907.68 × 13,392
  4. Step 4: Simplify right side
    24,570x = 454,091,650.56
  5. Step 5: Solve for x
    x = 454,091,650.56/24,570
  6. Step 6: Final answer
    x = 18,481.55

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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.