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Finding the Fourth Proportional to 24,230.91, 36,346.38 and 7,592.25

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Solution

The fourth proportional to 24,230.91, 36,346.38 and 7,592.25 is: 11,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.91 : 36,346.38 = 7,592.25 : x
  2. Step 2: Convert to fraction form
    24,230.91/36,346.38 = 7,592.25/x
  3. Step 3: Cross multiply
    24,230.91x = 36,346.38 × 7,592.25
  4. Step 4: Simplify right side
    24,230.91x = 275,950,728.29
  5. Step 5: Solve for x
    x = 275,950,728.29/24,230.91
  6. Step 6: Final answer
    x = 11,388.37

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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.