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Finding the Fourth Proportional to 12,202.38, 18,295.74 and 5,630.04

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Solution

The fourth proportional to 12,202.38, 18,295.74 and 5,630.04 is: 8,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.38 : 18,295.74 = 5,630.04 : x
  2. Step 2: Convert to fraction form
    12,202.38/18,295.74 = 5,630.04/x
  3. Step 3: Cross multiply
    12,202.38x = 18,295.74 × 5,630.04
  4. Step 4: Simplify right side
    12,202.38x = 103,005,748.03
  5. Step 5: Solve for x
    x = 103,005,748.03/12,202.38
  6. Step 6: Final answer
    x = 8,441.45

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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.