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Finding the Fourth Proportional to 27,917, 41,882.76 and 9,199.88

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Solution

The fourth proportional to 27,917, 41,882.76 and 9,199.88 is: 13,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,917 : 41,882.76 = 9,199.88 : x
  2. Step 2: Convert to fraction form
    27,917/41,882.76 = 9,199.88/x
  3. Step 3: Cross multiply
    27,917x = 41,882.76 × 9,199.88
  4. Step 4: Simplify right side
    27,917x = 385,316,366.07
  5. Step 5: Solve for x
    x = 385,316,366.07/27,917
  6. Step 6: Final answer
    x = 13,802.21

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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.