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Finding the Fourth Proportional to 27,882.67, 38,460.57 and 16,544.14

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Solution

The fourth proportional to 27,882.67, 38,460.57 and 16,544.14 is: 22,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.67 : 38,460.57 = 16,544.14 : x
  2. Step 2: Convert to fraction form
    27,882.67/38,460.57 = 16,544.14/x
  3. Step 3: Cross multiply
    27,882.67x = 38,460.57 × 16,544.14
  4. Step 4: Simplify right side
    27,882.67x = 636,296,935.34
  5. Step 5: Solve for x
    x = 636,296,935.34/27,882.67
  6. Step 6: Final answer
    x = 22,820.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.