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Finding the Fourth Proportional to 12,217.96, 18,312.83 and 5,630.30

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Solution

The fourth proportional to 12,217.96, 18,312.83 and 5,630.30 is: 8,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.96 : 18,312.83 = 5,630.30 : x
  2. Step 2: Convert to fraction form
    12,217.96/18,312.83 = 5,630.30/x
  3. Step 3: Cross multiply
    12,217.96x = 18,312.83 × 5,630.30
  4. Step 4: Simplify right side
    12,217.96x = 103,106,726.75
  5. Step 5: Solve for x
    x = 103,106,726.75/12,217.96
  6. Step 6: Final answer
    x = 8,438.95

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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.