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Finding the Fourth Proportional to 24,899.92, 37,355.68 and 11,050

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Solution

The fourth proportional to 24,899.92, 37,355.68 and 11,050 is: 16,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899.92 : 37,355.68 = 11,050 : x
  2. Step 2: Convert to fraction form
    24,899.92/37,355.68 = 11,050/x
  3. Step 3: Cross multiply
    24,899.92x = 37,355.68 × 11,050
  4. Step 4: Simplify right side
    24,899.92x = 412,780,264
  5. Step 5: Solve for x
    x = 412,780,264/24,899.92
  6. Step 6: Final answer
    x = 16,577.57

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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.