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Finding the Fourth Proportional to 12,184.68, 18,274.12 and 5,255.40

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Solution

The fourth proportional to 12,184.68, 18,274.12 and 5,255.40 is: 7,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.68 : 18,274.12 = 5,255.40 : x
  2. Step 2: Convert to fraction form
    12,184.68/18,274.12 = 5,255.40/x
  3. Step 3: Cross multiply
    12,184.68x = 18,274.12 × 5,255.40
  4. Step 4: Simplify right side
    12,184.68x = 96,037,810.25
  5. Step 5: Solve for x
    x = 96,037,810.25/12,184.68
  6. Step 6: Final answer
    x = 7,881.85

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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.