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Finding the Fourth Proportional to 23,228.16, 34,847.64 and 7,645.20

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Solution

The fourth proportional to 23,228.16, 34,847.64 and 7,645.20 is: 11,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.16 : 34,847.64 = 7,645.20 : x
  2. Step 2: Convert to fraction form
    23,228.16/34,847.64 = 7,645.20/x
  3. Step 3: Cross multiply
    23,228.16x = 34,847.64 × 7,645.20
  4. Step 4: Simplify right side
    23,228.16x = 266,417,177.33
  5. Step 5: Solve for x
    x = 266,417,177.33/23,228.16
  6. Step 6: Final answer
    x = 11,469.58

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