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Finding the Fourth Proportional to 14,422.14, 19,891.04 and 9,944.87

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Solution

The fourth proportional to 14,422.14, 19,891.04 and 9,944.87 is: 13,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.14 : 19,891.04 = 9,944.87 : x
  2. Step 2: Convert to fraction form
    14,422.14/19,891.04 = 9,944.87/x
  3. Step 3: Cross multiply
    14,422.14x = 19,891.04 × 9,944.87
  4. Step 4: Simplify right side
    14,422.14x = 197,813,657.79
  5. Step 5: Solve for x
    x = 197,813,657.79/14,422.14
  6. Step 6: Final answer
    x = 13,715.97

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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.