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Finding the Fourth Proportional to 12,203.16, 18,296.48 and 5,625.75

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Solution

The fourth proportional to 12,203.16, 18,296.48 and 5,625.75 is: 8,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.16 : 18,296.48 = 5,625.75 : x
  2. Step 2: Convert to fraction form
    12,203.16/18,296.48 = 5,625.75/x
  3. Step 3: Cross multiply
    12,203.16x = 18,296.48 × 5,625.75
  4. Step 4: Simplify right side
    12,203.16x = 102,931,505.04
  5. Step 5: Solve for x
    x = 102,931,505.04/12,203.16
  6. Step 6: Final answer
    x = 8,434.83

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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.