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Finding the Fourth Proportional to 24,288, 36,431.36 and 6,757.12

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Solution

The fourth proportional to 24,288, 36,431.36 and 6,757.12 is: 10,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288 : 36,431.36 = 6,757.12 : x
  2. Step 2: Convert to fraction form
    24,288/36,431.36 = 6,757.12/x
  3. Step 3: Cross multiply
    24,288x = 36,431.36 × 6,757.12
  4. Step 4: Simplify right side
    24,288x = 246,171,071.28
  5. Step 5: Solve for x
    x = 246,171,071.28/24,288
  6. Step 6: Final answer
    x = 10,135.50

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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.