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Finding the Fourth Proportional to 24,394, 36,529 and 22,147.46

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Solution

The fourth proportional to 24,394, 36,529 and 22,147.46 is: 33,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394 : 36,529 = 22,147.46 : x
  2. Step 2: Convert to fraction form
    24,394/36,529 = 22,147.46/x
  3. Step 3: Cross multiply
    24,394x = 36,529 × 22,147.46
  4. Step 4: Simplify right side
    24,394x = 809,024,566.34
  5. Step 5: Solve for x
    x = 809,024,566.34/24,394
  6. Step 6: Final answer
    x = 33,164.90

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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.