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Finding the Fourth Proportional to 14,143.68, 19,517.49 and 8,177.22

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Solution

The fourth proportional to 14,143.68, 19,517.49 and 8,177.22 is: 11,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.68 : 19,517.49 = 8,177.22 : x
  2. Step 2: Convert to fraction form
    14,143.68/19,517.49 = 8,177.22/x
  3. Step 3: Cross multiply
    14,143.68x = 19,517.49 × 8,177.22
  4. Step 4: Simplify right side
    14,143.68x = 159,598,809.58
  5. Step 5: Solve for x
    x = 159,598,809.58/14,143.68
  6. Step 6: Final answer
    x = 11,284.11

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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.