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Finding the Fourth Proportional to 12,397.11, 18,595.63 and 3,163.11

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Solution

The fourth proportional to 12,397.11, 18,595.63 and 3,163.11 is: 4,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.11 : 18,595.63 = 3,163.11 : x
  2. Step 2: Convert to fraction form
    12,397.11/18,595.63 = 3,163.11/x
  3. Step 3: Cross multiply
    12,397.11x = 18,595.63 × 3,163.11
  4. Step 4: Simplify right side
    12,397.11x = 58,820,023.21
  5. Step 5: Solve for x
    x = 58,820,023.21/12,397.11
  6. Step 6: Final answer
    x = 4,744.66

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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.