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Finding the Fourth Proportional to 12,188.85, 18,271.38 and 5,948.61

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Solution

The fourth proportional to 12,188.85, 18,271.38 and 5,948.61 is: 8,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.85 : 18,271.38 = 5,948.61 : x
  2. Step 2: Convert to fraction form
    12,188.85/18,271.38 = 5,948.61/x
  3. Step 3: Cross multiply
    12,188.85x = 18,271.38 × 5,948.61
  4. Step 4: Simplify right side
    12,188.85x = 108,689,284.04
  5. Step 5: Solve for x
    x = 108,689,284.04/12,188.85
  6. Step 6: Final answer
    x = 8,917.11

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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.