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Finding the Fourth Proportional to 21,049.14, 31,574.25 and 9,961.02

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Solution

The fourth proportional to 21,049.14, 31,574.25 and 9,961.02 is: 14,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.14 : 31,574.25 = 9,961.02 : x
  2. Step 2: Convert to fraction form
    21,049.14/31,574.25 = 9,961.02/x
  3. Step 3: Cross multiply
    21,049.14x = 31,574.25 × 9,961.02
  4. Step 4: Simplify right side
    21,049.14x = 314,511,735.74
  5. Step 5: Solve for x
    x = 314,511,735.74/21,049.14
  6. Step 6: Final answer
    x = 14,941.79

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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.