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Finding the Fourth Proportional to 24,872, 34,323.36 and 13,694

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Solution

The fourth proportional to 24,872, 34,323.36 and 13,694 is: 18,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872 : 34,323.36 = 13,694 : x
  2. Step 2: Convert to fraction form
    24,872/34,323.36 = 13,694/x
  3. Step 3: Cross multiply
    24,872x = 34,323.36 × 13,694
  4. Step 4: Simplify right side
    24,872x = 470,024,091.84
  5. Step 5: Solve for x
    x = 470,024,091.84/24,872
  6. Step 6: Final answer
    x = 18,897.72

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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.