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Finding the Fourth Proportional to 14,283.92, 19,711.68 and 7,997.48

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Solution

The fourth proportional to 14,283.92, 19,711.68 and 7,997.48 is: 11,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.92 : 19,711.68 = 7,997.48 : x
  2. Step 2: Convert to fraction form
    14,283.92/19,711.68 = 7,997.48/x
  3. Step 3: Cross multiply
    14,283.92x = 19,711.68 × 7,997.48
  4. Step 4: Simplify right side
    14,283.92x = 157,643,766.57
  5. Step 5: Solve for x
    x = 157,643,766.57/14,283.92
  6. Step 6: Final answer
    x = 11,036.45

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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.