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Finding the Fourth Proportional to 12,398.33, 18,598.68 and 4,078.42

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Solution

The fourth proportional to 12,398.33, 18,598.68 and 4,078.42 is: 6,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.33 : 18,598.68 = 4,078.42 : x
  2. Step 2: Convert to fraction form
    12,398.33/18,598.68 = 4,078.42/x
  3. Step 3: Cross multiply
    12,398.33x = 18,598.68 × 4,078.42
  4. Step 4: Simplify right side
    12,398.33x = 75,853,181.99
  5. Step 5: Solve for x
    x = 75,853,181.99/12,398.33
  6. Step 6: Final answer
    x = 6,118.01

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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.