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Finding the Fourth Proportional to 15,986.49, 22,062.36 and 9,274.23

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Solution

The fourth proportional to 15,986.49, 22,062.36 and 9,274.23 is: 12,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.49 : 22,062.36 = 9,274.23 : x
  2. Step 2: Convert to fraction form
    15,986.49/22,062.36 = 9,274.23/x
  3. Step 3: Cross multiply
    15,986.49x = 22,062.36 × 9,274.23
  4. Step 4: Simplify right side
    15,986.49x = 204,611,400.98
  5. Step 5: Solve for x
    x = 204,611,400.98/15,986.49
  6. Step 6: Final answer
    x = 12,799.02

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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.