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Finding the Fourth Proportional to 27,856.89, 41,798.97 and 13,818.24

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Solution

The fourth proportional to 27,856.89, 41,798.97 and 13,818.24 is: 20,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.89 : 41,798.97 = 13,818.24 : x
  2. Step 2: Convert to fraction form
    27,856.89/41,798.97 = 13,818.24/x
  3. Step 3: Cross multiply
    27,856.89x = 41,798.97 × 13,818.24
  4. Step 4: Simplify right side
    27,856.89x = 577,588,199.21
  5. Step 5: Solve for x
    x = 577,588,199.21/27,856.89
  6. Step 6: Final answer
    x = 20,734.12

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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.