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Finding the Fourth Proportional to 12,189.93, 18,253.68 and 8,436.52

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Solution

The fourth proportional to 12,189.93, 18,253.68 and 8,436.52 is: 12,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.93 : 18,253.68 = 8,436.52 : x
  2. Step 2: Convert to fraction form
    12,189.93/18,253.68 = 8,436.52/x
  3. Step 3: Cross multiply
    12,189.93x = 18,253.68 × 8,436.52
  4. Step 4: Simplify right side
    12,189.93x = 153,997,536.39
  5. Step 5: Solve for x
    x = 153,997,536.39/12,189.93
  6. Step 6: Final answer
    x = 12,633.18

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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.