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Finding the Fourth Proportional to 27,194.54, 40,792.28 and 7,472.96

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Solution

The fourth proportional to 27,194.54, 40,792.28 and 7,472.96 is: 11,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.54 : 40,792.28 = 7,472.96 : x
  2. Step 2: Convert to fraction form
    27,194.54/40,792.28 = 7,472.96/x
  3. Step 3: Cross multiply
    27,194.54x = 40,792.28 × 7,472.96
  4. Step 4: Simplify right side
    27,194.54x = 304,838,988.39
  5. Step 5: Solve for x
    x = 304,838,988.39/27,194.54
  6. Step 6: Final answer
    x = 11,209.57

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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.