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Finding the Fourth Proportional to 12,116.40, 18,171.06 and 4,719.20

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Solution

The fourth proportional to 12,116.40, 18,171.06 and 4,719.20 is: 7,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.40 : 18,171.06 = 4,719.20 : x
  2. Step 2: Convert to fraction form
    12,116.40/18,171.06 = 4,719.20/x
  3. Step 3: Cross multiply
    12,116.40x = 18,171.06 × 4,719.20
  4. Step 4: Simplify right side
    12,116.40x = 85,752,866.35
  5. Step 5: Solve for x
    x = 85,752,866.35/12,116.40
  6. Step 6: Final answer
    x = 7,077.42

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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.