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Finding the Fourth Proportional to 12,203.68, 18,317.04 and 5,634.40

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Solution

The fourth proportional to 12,203.68, 18,317.04 and 5,634.40 is: 8,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.68 : 18,317.04 = 5,634.40 : x
  2. Step 2: Convert to fraction form
    12,203.68/18,317.04 = 5,634.40/x
  3. Step 3: Cross multiply
    12,203.68x = 18,317.04 × 5,634.40
  4. Step 4: Simplify right side
    12,203.68x = 103,205,530.18
  5. Step 5: Solve for x
    x = 103,205,530.18/12,203.68
  6. Step 6: Final answer
    x = 8,456.92

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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.