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Finding the Fourth Proportional to 24,599.38, 33,947.25 and 13,421.62

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Solution

The fourth proportional to 24,599.38, 33,947.25 and 13,421.62 is: 18,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599.38 : 33,947.25 = 13,421.62 : x
  2. Step 2: Convert to fraction form
    24,599.38/33,947.25 = 13,421.62/x
  3. Step 3: Cross multiply
    24,599.38x = 33,947.25 × 13,421.62
  4. Step 4: Simplify right side
    24,599.38x = 455,627,089.55
  5. Step 5: Solve for x
    x = 455,627,089.55/24,599.38
  6. Step 6: Final answer
    x = 18,521.89

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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.