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Finding the Fourth Proportional to 24,572.16, 36,850.68 and 7,037.28

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Solution

The fourth proportional to 24,572.16, 36,850.68 and 7,037.28 is: 10,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.16 : 36,850.68 = 7,037.28 : x
  2. Step 2: Convert to fraction form
    24,572.16/36,850.68 = 7,037.28/x
  3. Step 3: Cross multiply
    24,572.16x = 36,850.68 × 7,037.28
  4. Step 4: Simplify right side
    24,572.16x = 259,328,553.35
  5. Step 5: Solve for x
    x = 259,328,553.35/24,572.16
  6. Step 6: Final answer
    x = 10,553.75

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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.