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Finding the Fourth Proportional to 14,856.14, 22,286.03 and 5,494.57

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Solution

The fourth proportional to 14,856.14, 22,286.03 and 5,494.57 is: 8,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.14 : 22,286.03 = 5,494.57 : x
  2. Step 2: Convert to fraction form
    14,856.14/22,286.03 = 5,494.57/x
  3. Step 3: Cross multiply
    14,856.14x = 22,286.03 × 5,494.57
  4. Step 4: Simplify right side
    14,856.14x = 122,452,151.86
  5. Step 5: Solve for x
    x = 122,452,151.86/14,856.14
  6. Step 6: Final answer
    x = 8,242.53

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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.