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Finding the Fourth Proportional to 14,099.67, 19,456.77 and 7,725.06

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Solution

The fourth proportional to 14,099.67, 19,456.77 and 7,725.06 is: 10,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.67 : 19,456.77 = 7,725.06 : x
  2. Step 2: Convert to fraction form
    14,099.67/19,456.77 = 7,725.06/x
  3. Step 3: Cross multiply
    14,099.67x = 19,456.77 × 7,725.06
  4. Step 4: Simplify right side
    14,099.67x = 150,304,715.66
  5. Step 5: Solve for x
    x = 150,304,715.66/14,099.67
  6. Step 6: Final answer
    x = 10,660.16

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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.