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Finding the Fourth Proportional to 24,820, 34,251.60 and 13,642

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Solution

The fourth proportional to 24,820, 34,251.60 and 13,642 is: 18,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 34,251.60 = 13,642 : x
  2. Step 2: Convert to fraction form
    24,820/34,251.60 = 13,642/x
  3. Step 3: Cross multiply
    24,820x = 34,251.60 × 13,642
  4. Step 4: Simplify right side
    24,820x = 467,260,327.20
  5. Step 5: Solve for x
    x = 467,260,327.20/24,820
  6. Step 6: Final answer
    x = 18,825.96

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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.