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Finding the Fourth Proportional to 12,398.09, 18,598.31 and 4,078.17

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Solution

The fourth proportional to 12,398.09, 18,598.31 and 4,078.17 is: 6,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.09 : 18,598.31 = 4,078.17 : x
  2. Step 2: Convert to fraction form
    12,398.09/18,598.31 = 4,078.17/x
  3. Step 3: Cross multiply
    12,398.09x = 18,598.31 × 4,078.17
  4. Step 4: Simplify right side
    12,398.09x = 75,847,069.89
  5. Step 5: Solve for x
    x = 75,847,069.89/12,398.09
  6. Step 6: Final answer
    x = 6,117.64

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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.