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Finding the Fourth Proportional to 24,500.40, 36,728.37 and 8,907

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Solution

The fourth proportional to 24,500.40, 36,728.37 and 8,907 is: 13,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.40 : 36,728.37 = 8,907 : x
  2. Step 2: Convert to fraction form
    24,500.40/36,728.37 = 8,907/x
  3. Step 3: Cross multiply
    24,500.40x = 36,728.37 × 8,907
  4. Step 4: Simplify right side
    24,500.40x = 327,139,591.59
  5. Step 5: Solve for x
    x = 327,139,591.59/24,500.40
  6. Step 6: Final answer
    x = 13,352.42

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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.