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Finding the Fourth Proportional to 24,022.96, 36,040.04 and 8,228.16

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Solution

The fourth proportional to 24,022.96, 36,040.04 and 8,228.16 is: 12,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.96 : 36,040.04 = 8,228.16 : x
  2. Step 2: Convert to fraction form
    24,022.96/36,040.04 = 8,228.16/x
  3. Step 3: Cross multiply
    24,022.96x = 36,040.04 × 8,228.16
  4. Step 4: Simplify right side
    24,022.96x = 296,543,215.53
  5. Step 5: Solve for x
    x = 296,543,215.53/24,022.96
  6. Step 6: Final answer
    x = 12,344.16

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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.