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Finding the Fourth Proportional to 15,115.42, 20,856.79 and 8,400.86

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Solution

The fourth proportional to 15,115.42, 20,856.79 and 8,400.86 is: 11,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.42 : 20,856.79 = 8,400.86 : x
  2. Step 2: Convert to fraction form
    15,115.42/20,856.79 = 8,400.86/x
  3. Step 3: Cross multiply
    15,115.42x = 20,856.79 × 8,400.86
  4. Step 4: Simplify right side
    15,115.42x = 175,214,972.84
  5. Step 5: Solve for x
    x = 175,214,972.84/15,115.42
  6. Step 6: Final answer
    x = 11,591.80

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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.