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Finding the Fourth Proportional to 24,427.52, 36,642.69 and 6,895.88

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Solution

The fourth proportional to 24,427.52, 36,642.69 and 6,895.88 is: 10,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.52 : 36,642.69 = 6,895.88 : x
  2. Step 2: Convert to fraction form
    24,427.52/36,642.69 = 6,895.88/x
  3. Step 3: Cross multiply
    24,427.52x = 36,642.69 × 6,895.88
  4. Step 4: Simplify right side
    24,427.52x = 252,683,409.90
  5. Step 5: Solve for x
    x = 252,683,409.90/24,427.52
  6. Step 6: Final answer
    x = 10,344.21

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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.