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Finding the Fourth Proportional to 24,218.60, 33,424.65 and 13,608

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Solution

The fourth proportional to 24,218.60, 33,424.65 and 13,608 is: 18,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.60 : 33,424.65 = 13,608 : x
  2. Step 2: Convert to fraction form
    24,218.60/33,424.65 = 13,608/x
  3. Step 3: Cross multiply
    24,218.60x = 33,424.65 × 13,608
  4. Step 4: Simplify right side
    24,218.60x = 454,842,637.20
  5. Step 5: Solve for x
    x = 454,842,637.20/24,218.60
  6. Step 6: Final answer
    x = 18,780.72

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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.