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Finding the Fourth Proportional to 27,978.14, 38,611.06 and 16,042.62

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Solution

The fourth proportional to 27,978.14, 38,611.06 and 16,042.62 is: 22,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.14 : 38,611.06 = 16,042.62 : x
  2. Step 2: Convert to fraction form
    27,978.14/38,611.06 = 16,042.62/x
  3. Step 3: Cross multiply
    27,978.14x = 38,611.06 × 16,042.62
  4. Step 4: Simplify right side
    27,978.14x = 619,422,563.38
  5. Step 5: Solve for x
    x = 619,422,563.38/27,978.14
  6. Step 6: Final answer
    x = 22,139.52

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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.