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Finding the Fourth Proportional to 24,277.60, 33,503.14 and 13,522.39

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Solution

The fourth proportional to 24,277.60, 33,503.14 and 13,522.39 is: 18,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.60 : 33,503.14 = 13,522.39 : x
  2. Step 2: Convert to fraction form
    24,277.60/33,503.14 = 13,522.39/x
  3. Step 3: Cross multiply
    24,277.60x = 33,503.14 × 13,522.39
  4. Step 4: Simplify right side
    24,277.60x = 453,042,357.79
  5. Step 5: Solve for x
    x = 453,042,357.79/24,277.60
  6. Step 6: Final answer
    x = 18,660.92

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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.