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Finding the Fourth Proportional to 27,842.78, 38,422.98 and 15,267.50

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Solution

The fourth proportional to 27,842.78, 38,422.98 and 15,267.50 is: 21,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.78 : 38,422.98 = 15,267.50 : x
  2. Step 2: Convert to fraction form
    27,842.78/38,422.98 = 15,267.50/x
  3. Step 3: Cross multiply
    27,842.78x = 38,422.98 × 15,267.50
  4. Step 4: Simplify right side
    27,842.78x = 586,622,847.15
  5. Step 5: Solve for x
    x = 586,622,847.15/27,842.78
  6. Step 6: Final answer
    x = 21,069.12

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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.