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Finding the Fourth Proportional to 12,402.96, 18,601.92 and 4,083.84

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Solution

The fourth proportional to 12,402.96, 18,601.92 and 4,083.84 is: 6,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.96 : 18,601.92 = 4,083.84 : x
  2. Step 2: Convert to fraction form
    12,402.96/18,601.92 = 4,083.84/x
  3. Step 3: Cross multiply
    12,402.96x = 18,601.92 × 4,083.84
  4. Step 4: Simplify right side
    12,402.96x = 75,967,264.97
  5. Step 5: Solve for x
    x = 75,967,264.97/12,402.96
  6. Step 6: Final answer
    x = 6,124.93

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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.