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Finding the Fourth Proportional to 24,061.50, 36,095.64 and 7,422.88

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Solution

The fourth proportional to 24,061.50, 36,095.64 and 7,422.88 is: 11,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061.50 : 36,095.64 = 7,422.88 : x
  2. Step 2: Convert to fraction form
    24,061.50/36,095.64 = 7,422.88/x
  3. Step 3: Cross multiply
    24,061.50x = 36,095.64 × 7,422.88
  4. Step 4: Simplify right side
    24,061.50x = 267,933,604.24
  5. Step 5: Solve for x
    x = 267,933,604.24/24,061.50
  6. Step 6: Final answer
    x = 11,135.37

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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.