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Finding the Fourth Proportional to 16,122.65, 22,253.90 and 9,749.25

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Solution

The fourth proportional to 16,122.65, 22,253.90 and 9,749.25 is: 13,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.65 : 22,253.90 = 9,749.25 : x
  2. Step 2: Convert to fraction form
    16,122.65/22,253.90 = 9,749.25/x
  3. Step 3: Cross multiply
    16,122.65x = 22,253.90 × 9,749.25
  4. Step 4: Simplify right side
    16,122.65x = 216,958,785.83
  5. Step 5: Solve for x
    x = 216,958,785.83/16,122.65
  6. Step 6: Final answer
    x = 13,456.77

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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.