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Finding the Fourth Proportional to 27,842.25, 38,422.31 and 15,267.27

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Solution

The fourth proportional to 27,842.25, 38,422.31 and 15,267.27 is: 21,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.25 : 38,422.31 = 15,267.27 : x
  2. Step 2: Convert to fraction form
    27,842.25/38,422.31 = 15,267.27/x
  3. Step 3: Cross multiply
    27,842.25x = 38,422.31 × 15,267.27
  4. Step 4: Simplify right side
    27,842.25x = 586,603,818.96
  5. Step 5: Solve for x
    x = 586,603,818.96/27,842.25
  6. Step 6: Final answer
    x = 21,068.84

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Why These Related Problems?

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