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Finding the Fourth Proportional to 12,189, 18,322.68 and 11,322.40

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Solution

The fourth proportional to 12,189, 18,322.68 and 11,322.40 is: 17,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189 : 18,322.68 = 11,322.40 : x
  2. Step 2: Convert to fraction form
    12,189/18,322.68 = 11,322.40/x
  3. Step 3: Cross multiply
    12,189x = 18,322.68 × 11,322.40
  4. Step 4: Simplify right side
    12,189x = 207,456,712.03
  5. Step 5: Solve for x
    x = 207,456,712.03/12,189
  6. Step 6: Final answer
    x = 17,019.99

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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.