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Finding the Fourth Proportional to 27,856.68, 38,428.68 and 18,433.12

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Solution

The fourth proportional to 27,856.68, 38,428.68 and 18,433.12 is: 25,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.68 : 38,428.68 = 18,433.12 : x
  2. Step 2: Convert to fraction form
    27,856.68/38,428.68 = 18,433.12/x
  3. Step 3: Cross multiply
    27,856.68x = 38,428.68 × 18,433.12
  4. Step 4: Simplify right side
    27,856.68x = 708,360,469.88
  5. Step 5: Solve for x
    x = 708,360,469.88/27,856.68
  6. Step 6: Final answer
    x = 25,428.75

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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.