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Finding the Fourth Proportional to 24,538.60, 36,905.10 and 22,011.40

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Solution

The fourth proportional to 24,538.60, 36,905.10 and 22,011.40 is: 33,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.60 : 36,905.10 = 22,011.40 : x
  2. Step 2: Convert to fraction form
    24,538.60/36,905.10 = 22,011.40/x
  3. Step 3: Cross multiply
    24,538.60x = 36,905.10 × 22,011.40
  4. Step 4: Simplify right side
    24,538.60x = 812,332,918.14
  5. Step 5: Solve for x
    x = 812,332,918.14/24,538.60
  6. Step 6: Final answer
    x = 33,104.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.