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Finding the Fourth Proportional to 18,422.16, 27,639.84 and 7,887.76

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Solution

The fourth proportional to 18,422.16, 27,639.84 and 7,887.76 is: 11,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.16 : 27,639.84 = 7,887.76 : x
  2. Step 2: Convert to fraction form
    18,422.16/27,639.84 = 7,887.76/x
  3. Step 3: Cross multiply
    18,422.16x = 27,639.84 × 7,887.76
  4. Step 4: Simplify right side
    18,422.16x = 218,016,424.36
  5. Step 5: Solve for x
    x = 218,016,424.36/18,422.16
  6. Step 6: Final answer
    x = 11,834.47

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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.