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Finding the Fourth Proportional to 12,433.17, 18,649.76 and 3,667.40

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Solution

The fourth proportional to 12,433.17, 18,649.76 and 3,667.40 is: 5,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.17 : 18,649.76 = 3,667.40 : x
  2. Step 2: Convert to fraction form
    12,433.17/18,649.76 = 3,667.40/x
  3. Step 3: Cross multiply
    12,433.17x = 18,649.76 × 3,667.40
  4. Step 4: Simplify right side
    12,433.17x = 68,396,213.71
  5. Step 5: Solve for x
    x = 68,396,213.71/12,433.17
  6. Step 6: Final answer
    x = 5,501.11

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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.