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Finding the Fourth Proportional to 24,304.32, 36,463.02 and 7,665

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Solution

The fourth proportional to 24,304.32, 36,463.02 and 7,665 is: 11,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,304.32 : 36,463.02 = 7,665 : x
  2. Step 2: Convert to fraction form
    24,304.32/36,463.02 = 7,665/x
  3. Step 3: Cross multiply
    24,304.32x = 36,463.02 × 7,665
  4. Step 4: Simplify right side
    24,304.32x = 279,489,048.30
  5. Step 5: Solve for x
    x = 279,489,048.30/24,304.32
  6. Step 6: Final answer
    x = 11,499.56

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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.