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Finding the Fourth Proportional to 12,402.12, 18,603.81 and 3,637.74

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Solution

The fourth proportional to 12,402.12, 18,603.81 and 3,637.74 is: 5,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.12 : 18,603.81 = 3,637.74 : x
  2. Step 2: Convert to fraction form
    12,402.12/18,603.81 = 3,637.74/x
  3. Step 3: Cross multiply
    12,402.12x = 18,603.81 × 3,637.74
  4. Step 4: Simplify right side
    12,402.12x = 67,675,823.79
  5. Step 5: Solve for x
    x = 67,675,823.79/12,402.12
  6. Step 6: Final answer
    x = 5,456.79

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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.