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Finding the Fourth Proportional to 24,196.50, 36,298.80 and 7,553.97

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Solution

The fourth proportional to 24,196.50, 36,298.80 and 7,553.97 is: 11,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.50 : 36,298.80 = 7,553.97 : x
  2. Step 2: Convert to fraction form
    24,196.50/36,298.80 = 7,553.97/x
  3. Step 3: Cross multiply
    24,196.50x = 36,298.80 × 7,553.97
  4. Step 4: Simplify right side
    24,196.50x = 274,200,046.24
  5. Step 5: Solve for x
    x = 274,200,046.24/24,196.50
  6. Step 6: Final answer
    x = 11,332.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.