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Finding the Fourth Proportional to 12,402.31, 18,603.61 and 3,637.40

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Solution

The fourth proportional to 12,402.31, 18,603.61 and 3,637.40 is: 5,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.31 : 18,603.61 = 3,637.40 : x
  2. Step 2: Convert to fraction form
    12,402.31/18,603.61 = 3,637.40/x
  3. Step 3: Cross multiply
    12,402.31x = 18,603.61 × 3,637.40
  4. Step 4: Simplify right side
    12,402.31x = 67,668,659.81
  5. Step 5: Solve for x
    x = 67,668,659.81/12,402.31
  6. Step 6: Final answer
    x = 5,456.14

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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.