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Finding the Fourth Proportional to 12,194.91, 18,294.93 and 4,297.10

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Solution

The fourth proportional to 12,194.91, 18,294.93 and 4,297.10 is: 6,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.91 : 18,294.93 = 4,297.10 : x
  2. Step 2: Convert to fraction form
    12,194.91/18,294.93 = 4,297.10/x
  3. Step 3: Cross multiply
    12,194.91x = 18,294.93 × 4,297.10
  4. Step 4: Simplify right side
    12,194.91x = 78,615,052.23
  5. Step 5: Solve for x
    x = 78,615,052.23/12,194.91
  6. Step 6: Final answer
    x = 6,446.55

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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.