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Finding the Fourth Proportional to 18,274.50, 25,218.82 and 9,891

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Solution

The fourth proportional to 18,274.50, 25,218.82 and 9,891 is: 13,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.50 : 25,218.82 = 9,891 : x
  2. Step 2: Convert to fraction form
    18,274.50/25,218.82 = 9,891/x
  3. Step 3: Cross multiply
    18,274.50x = 25,218.82 × 9,891
  4. Step 4: Simplify right side
    18,274.50x = 249,439,348.62
  5. Step 5: Solve for x
    x = 249,439,348.62/18,274.50
  6. Step 6: Final answer
    x = 13,649.59

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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.