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Finding the Fourth Proportional to 23,228.65, 34,832.34 and 7,430.62

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Solution

The fourth proportional to 23,228.65, 34,832.34 and 7,430.62 is: 11,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.65 : 34,832.34 = 7,430.62 : x
  2. Step 2: Convert to fraction form
    23,228.65/34,832.34 = 7,430.62/x
  3. Step 3: Cross multiply
    23,228.65x = 34,832.34 × 7,430.62
  4. Step 4: Simplify right side
    23,228.65x = 258,825,882.25
  5. Step 5: Solve for x
    x = 258,825,882.25/23,228.65
  6. Step 6: Final answer
    x = 11,142.53

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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.