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Finding the Fourth Proportional to 13,422.95, 20,141.66 and 7,887.10

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Solution

The fourth proportional to 13,422.95, 20,141.66 and 7,887.10 is: 11,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.95 : 20,141.66 = 7,887.10 : x
  2. Step 2: Convert to fraction form
    13,422.95/20,141.66 = 7,887.10/x
  3. Step 3: Cross multiply
    13,422.95x = 20,141.66 × 7,887.10
  4. Step 4: Simplify right side
    13,422.95x = 158,859,286.59
  5. Step 5: Solve for x
    x = 158,859,286.59/13,422.95
  6. Step 6: Final answer
    x = 11,834.90

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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.