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Finding the Fourth Proportional to 24,147.75, 36,224.73 and 8,565.51

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Solution

The fourth proportional to 24,147.75, 36,224.73 and 8,565.51 is: 12,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.75 : 36,224.73 = 8,565.51 : x
  2. Step 2: Convert to fraction form
    24,147.75/36,224.73 = 8,565.51/x
  3. Step 3: Cross multiply
    24,147.75x = 36,224.73 × 8,565.51
  4. Step 4: Simplify right side
    24,147.75x = 310,283,287.06
  5. Step 5: Solve for x
    x = 310,283,287.06/24,147.75
  6. Step 6: Final answer
    x = 12,849.37

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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.