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Finding the Fourth Proportional to 12,207.40, 18,311.10 and 12,077.80

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Solution

The fourth proportional to 12,207.40, 18,311.10 and 12,077.80 is: 18,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.40 : 18,311.10 = 12,077.80 : x
  2. Step 2: Convert to fraction form
    12,207.40/18,311.10 = 12,077.80/x
  3. Step 3: Cross multiply
    12,207.40x = 18,311.10 × 12,077.80
  4. Step 4: Simplify right side
    12,207.40x = 221,157,803.58
  5. Step 5: Solve for x
    x = 221,157,803.58/12,207.40
  6. Step 6: Final answer
    x = 18,116.70

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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.