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Finding the Fourth Proportional to 16,856.68, 25,284.90 and 13,162

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Solution

The fourth proportional to 16,856.68, 25,284.90 and 13,162 is: 19,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.68 : 25,284.90 = 13,162 : x
  2. Step 2: Convert to fraction form
    16,856.68/25,284.90 = 13,162/x
  3. Step 3: Cross multiply
    16,856.68x = 25,284.90 × 13,162
  4. Step 4: Simplify right side
    16,856.68x = 332,799,853.80
  5. Step 5: Solve for x
    x = 332,799,853.80/16,856.68
  6. Step 6: Final answer
    x = 19,742.91

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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.