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Finding the Fourth Proportional to 14,371.80, 19,834.92 and 8,084.13

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Solution

The fourth proportional to 14,371.80, 19,834.92 and 8,084.13 is: 11,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.80 : 19,834.92 = 8,084.13 : x
  2. Step 2: Convert to fraction form
    14,371.80/19,834.92 = 8,084.13/x
  3. Step 3: Cross multiply
    14,371.80x = 19,834.92 × 8,084.13
  4. Step 4: Simplify right side
    14,371.80x = 160,348,071.82
  5. Step 5: Solve for x
    x = 160,348,071.82/14,371.80
  6. Step 6: Final answer
    x = 11,157.13

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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.