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Finding the Fourth Proportional to 24,228.70, 36,345.45 and 8,431.30

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Solution

The fourth proportional to 24,228.70, 36,345.45 and 8,431.30 is: 12,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.70 : 36,345.45 = 8,431.30 : x
  2. Step 2: Convert to fraction form
    24,228.70/36,345.45 = 8,431.30/x
  3. Step 3: Cross multiply
    24,228.70x = 36,345.45 × 8,431.30
  4. Step 4: Simplify right side
    24,228.70x = 306,439,392.59
  5. Step 5: Solve for x
    x = 306,439,392.59/24,228.70
  6. Step 6: Final answer
    x = 12,647.79

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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.