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Finding the Fourth Proportional to 27,553.38, 41,332.14 and 7,833.57

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Solution

The fourth proportional to 27,553.38, 41,332.14 and 7,833.57 is: 11,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553.38 : 41,332.14 = 7,833.57 : x
  2. Step 2: Convert to fraction form
    27,553.38/41,332.14 = 7,833.57/x
  3. Step 3: Cross multiply
    27,553.38x = 41,332.14 × 7,833.57
  4. Step 4: Simplify right side
    27,553.38x = 323,778,211.94
  5. Step 5: Solve for x
    x = 323,778,211.94/27,553.38
  6. Step 6: Final answer
    x = 11,750.94

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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.