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Finding the Fourth Proportional to 12,191.04, 18,311.40 and 8,037

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Solution

The fourth proportional to 12,191.04, 18,311.40 and 8,037 is: 12,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.04 : 18,311.40 = 8,037 : x
  2. Step 2: Convert to fraction form
    12,191.04/18,311.40 = 8,037/x
  3. Step 3: Cross multiply
    12,191.04x = 18,311.40 × 8,037
  4. Step 4: Simplify right side
    12,191.04x = 147,168,721.80
  5. Step 5: Solve for x
    x = 147,168,721.80/12,191.04
  6. Step 6: Final answer
    x = 12,071.88

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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.