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Finding the Fourth Proportional to 12,077.36, 18,116.04 and 3,312.20

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Solution

The fourth proportional to 12,077.36, 18,116.04 and 3,312.20 is: 4,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.36 : 18,116.04 = 3,312.20 : x
  2. Step 2: Convert to fraction form
    12,077.36/18,116.04 = 3,312.20/x
  3. Step 3: Cross multiply
    12,077.36x = 18,116.04 × 3,312.20
  4. Step 4: Simplify right side
    12,077.36x = 60,003,947.69
  5. Step 5: Solve for x
    x = 60,003,947.69/12,077.36
  6. Step 6: Final answer
    x = 4,968.30

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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.