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Finding the Fourth Proportional to 16,610.40, 24,921.14 and 7,847.82

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Solution

The fourth proportional to 16,610.40, 24,921.14 and 7,847.82 is: 11,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610.40 : 24,921.14 = 7,847.82 : x
  2. Step 2: Convert to fraction form
    16,610.40/24,921.14 = 7,847.82/x
  3. Step 3: Cross multiply
    16,610.40x = 24,921.14 × 7,847.82
  4. Step 4: Simplify right side
    16,610.40x = 195,576,581.68
  5. Step 5: Solve for x
    x = 195,576,581.68/16,610.40
  6. Step 6: Final answer
    x = 11,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.