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Finding the Fourth Proportional to 14,098.80, 19,456.35 and 7,725.34

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Solution

The fourth proportional to 14,098.80, 19,456.35 and 7,725.34 is: 10,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.80 : 19,456.35 = 7,725.34 : x
  2. Step 2: Convert to fraction form
    14,098.80/19,456.35 = 7,725.34/x
  3. Step 3: Cross multiply
    14,098.80x = 19,456.35 × 7,725.34
  4. Step 4: Simplify right side
    14,098.80x = 150,306,949.57
  5. Step 5: Solve for x
    x = 150,306,949.57/14,098.80
  6. Step 6: Final answer
    x = 10,660.97

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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.