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Finding the Fourth Proportional to 21,891, 30,209.61 and 12,459.57

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Solution

The fourth proportional to 21,891, 30,209.61 and 12,459.57 is: 17,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891 : 30,209.61 = 12,459.57 : x
  2. Step 2: Convert to fraction form
    21,891/30,209.61 = 12,459.57/x
  3. Step 3: Cross multiply
    21,891x = 30,209.61 × 12,459.57
  4. Step 4: Simplify right side
    21,891x = 376,398,750.47
  5. Step 5: Solve for x
    x = 376,398,750.47/21,891
  6. Step 6: Final answer
    x = 17,194.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.