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Finding the Fourth Proportional to 12,199.30, 18,302 and 5,630.08

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Solution

The fourth proportional to 12,199.30, 18,302 and 5,630.08 is: 8,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.30 : 18,302 = 5,630.08 : x
  2. Step 2: Convert to fraction form
    12,199.30/18,302 = 5,630.08/x
  3. Step 3: Cross multiply
    12,199.30x = 18,302 × 5,630.08
  4. Step 4: Simplify right side
    12,199.30x = 103,041,724.16
  5. Step 5: Solve for x
    x = 103,041,724.16/12,199.30
  6. Step 6: Final answer
    x = 8,446.53

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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.