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Finding the Fourth Proportional to 12,113.52, 18,161.88 and 6,178.88

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Solution

The fourth proportional to 12,113.52, 18,161.88 and 6,178.88 is: 9,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.52 : 18,161.88 = 6,178.88 : x
  2. Step 2: Convert to fraction form
    12,113.52/18,161.88 = 6,178.88/x
  3. Step 3: Cross multiply
    12,113.52x = 18,161.88 × 6,178.88
  4. Step 4: Simplify right side
    12,113.52x = 112,220,077.09
  5. Step 5: Solve for x
    x = 112,220,077.09/12,113.52
  6. Step 6: Final answer
    x = 9,264.04

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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.