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Finding the Fourth Proportional to 14,591.12, 20,133.78 and 8,217.40

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Solution

The fourth proportional to 14,591.12, 20,133.78 and 8,217.40 is: 11,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.12 : 20,133.78 = 8,217.40 : x
  2. Step 2: Convert to fraction form
    14,591.12/20,133.78 = 8,217.40/x
  3. Step 3: Cross multiply
    14,591.12x = 20,133.78 × 8,217.40
  4. Step 4: Simplify right side
    14,591.12x = 165,447,323.77
  5. Step 5: Solve for x
    x = 165,447,323.77/14,591.12
  6. Step 6: Final answer
    x = 11,338.91

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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.