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Finding the Fourth Proportional to 12,143.68, 18,199.10 and 6,304.39

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Solution

The fourth proportional to 12,143.68, 18,199.10 and 6,304.39 is: 9,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.68 : 18,199.10 = 6,304.39 : x
  2. Step 2: Convert to fraction form
    12,143.68/18,199.10 = 6,304.39/x
  3. Step 3: Cross multiply
    12,143.68x = 18,199.10 × 6,304.39
  4. Step 4: Simplify right side
    12,143.68x = 114,734,194.31
  5. Step 5: Solve for x
    x = 114,734,194.31/12,143.68
  6. Step 6: Final answer
    x = 9,448.06

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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.