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Finding the Fourth Proportional to 24,575.92, 36,863.98 and 7,478.98

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Solution

The fourth proportional to 24,575.92, 36,863.98 and 7,478.98 is: 11,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.92 : 36,863.98 = 7,478.98 : x
  2. Step 2: Convert to fraction form
    24,575.92/36,863.98 = 7,478.98/x
  3. Step 3: Cross multiply
    24,575.92x = 36,863.98 × 7,478.98
  4. Step 4: Simplify right side
    24,575.92x = 275,704,900.35
  5. Step 5: Solve for x
    x = 275,704,900.35/24,575.92
  6. Step 6: Final answer
    x = 11,218.50

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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.