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Finding the Fourth Proportional to 24,551.72, 36,832.38 and 9,767.56

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Solution

The fourth proportional to 24,551.72, 36,832.38 and 9,767.56 is: 14,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,551.72 : 36,832.38 = 9,767.56 : x
  2. Step 2: Convert to fraction form
    24,551.72/36,832.38 = 9,767.56/x
  3. Step 3: Cross multiply
    24,551.72x = 36,832.38 × 9,767.56
  4. Step 4: Simplify right side
    24,551.72x = 359,762,481.59
  5. Step 5: Solve for x
    x = 359,762,481.59/24,551.72
  6. Step 6: Final answer
    x = 14,653.25

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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.