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Finding the Fourth Proportional to 12,190.80, 18,285.12 and 5,948.40

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Solution

The fourth proportional to 12,190.80, 18,285.12 and 5,948.40 is: 8,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.80 : 18,285.12 = 5,948.40 : x
  2. Step 2: Convert to fraction form
    12,190.80/18,285.12 = 5,948.40/x
  3. Step 3: Cross multiply
    12,190.80x = 18,285.12 × 5,948.40
  4. Step 4: Simplify right side
    12,190.80x = 108,767,207.81
  5. Step 5: Solve for x
    x = 108,767,207.81/12,190.80
  6. Step 6: Final answer
    x = 8,922.07

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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.