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Finding the Fourth Proportional to 27,882.72, 41,792.76 and 14,706.72

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Solution

The fourth proportional to 27,882.72, 41,792.76 and 14,706.72 is: 22,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.72 : 41,792.76 = 14,706.72 : x
  2. Step 2: Convert to fraction form
    27,882.72/41,792.76 = 14,706.72/x
  3. Step 3: Cross multiply
    27,882.72x = 41,792.76 × 14,706.72
  4. Step 4: Simplify right side
    27,882.72x = 614,634,419.35
  5. Step 5: Solve for x
    x = 614,634,419.35/27,882.72
  6. Step 6: Final answer
    x = 22,043.56

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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.