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Finding the Fourth Proportional to 27,818.56, 41,698.68 and 13,015

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Solution

The fourth proportional to 27,818.56, 41,698.68 and 13,015 is: 19,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.56 : 41,698.68 = 13,015 : x
  2. Step 2: Convert to fraction form
    27,818.56/41,698.68 = 13,015/x
  3. Step 3: Cross multiply
    27,818.56x = 41,698.68 × 13,015
  4. Step 4: Simplify right side
    27,818.56x = 542,708,320.20
  5. Step 5: Solve for x
    x = 542,708,320.20/27,818.56
  6. Step 6: Final answer
    x = 19,508.86

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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.