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Finding the Fourth Proportional to 12,398.10, 18,601.20 and 4,077.78

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Solution

The fourth proportional to 12,398.10, 18,601.20 and 4,077.78 is: 6,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.10 : 18,601.20 = 4,077.78 : x
  2. Step 2: Convert to fraction form
    12,398.10/18,601.20 = 4,077.78/x
  3. Step 3: Cross multiply
    12,398.10x = 18,601.20 × 4,077.78
  4. Step 4: Simplify right side
    12,398.10x = 75,851,601.34
  5. Step 5: Solve for x
    x = 75,851,601.34/12,398.10
  6. Step 6: Final answer
    x = 6,118.00

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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.