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Finding the Fourth Proportional to 24,202.84, 33,402.36 and 13,591.84

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Solution

The fourth proportional to 24,202.84, 33,402.36 and 13,591.84 is: 18,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.84 : 33,402.36 = 13,591.84 : x
  2. Step 2: Convert to fraction form
    24,202.84/33,402.36 = 13,591.84/x
  3. Step 3: Cross multiply
    24,202.84x = 33,402.36 × 13,591.84
  4. Step 4: Simplify right side
    24,202.84x = 453,999,532.74
  5. Step 5: Solve for x
    x = 453,999,532.74/24,202.84
  6. Step 6: Final answer
    x = 18,758.11

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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.