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Finding the Fourth Proportional to 24,371.96, 36,563.46 and 7,733

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Solution

The fourth proportional to 24,371.96, 36,563.46 and 7,733 is: 11,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.96 : 36,563.46 = 7,733 : x
  2. Step 2: Convert to fraction form
    24,371.96/36,563.46 = 7,733/x
  3. Step 3: Cross multiply
    24,371.96x = 36,563.46 × 7,733
  4. Step 4: Simplify right side
    24,371.96x = 282,745,236.18
  5. Step 5: Solve for x
    x = 282,745,236.18/24,371.96
  6. Step 6: Final answer
    x = 11,601.25

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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.