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Finding the Fourth Proportional to 12,178.14, 18,267.84 and 3,859.02

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Solution

The fourth proportional to 12,178.14, 18,267.84 and 3,859.02 is: 5,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.14 : 18,267.84 = 3,859.02 : x
  2. Step 2: Convert to fraction form
    12,178.14/18,267.84 = 3,859.02/x
  3. Step 3: Cross multiply
    12,178.14x = 18,267.84 × 3,859.02
  4. Step 4: Simplify right side
    12,178.14x = 70,495,959.92
  5. Step 5: Solve for x
    x = 70,495,959.92/12,178.14
  6. Step 6: Final answer
    x = 5,788.73

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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.