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Finding the Fourth Proportional to 24,189.76, 36,285.99 and 7,552.09

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Solution

The fourth proportional to 24,189.76, 36,285.99 and 7,552.09 is: 11,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.76 : 36,285.99 = 7,552.09 : x
  2. Step 2: Convert to fraction form
    24,189.76/36,285.99 = 7,552.09/x
  3. Step 3: Cross multiply
    24,189.76x = 36,285.99 × 7,552.09
  4. Step 4: Simplify right side
    24,189.76x = 274,035,062.22
  5. Step 5: Solve for x
    x = 274,035,062.22/24,189.76
  6. Step 6: Final answer
    x = 11,328.56

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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.