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Finding the Fourth Proportional to 21,049.13, 31,548.56 and 9,789.28

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Solution

The fourth proportional to 21,049.13, 31,548.56 and 9,789.28 is: 14,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.13 : 31,548.56 = 9,789.28 : x
  2. Step 2: Convert to fraction form
    21,049.13/31,548.56 = 9,789.28/x
  3. Step 3: Cross multiply
    21,049.13x = 31,548.56 × 9,789.28
  4. Step 4: Simplify right side
    21,049.13x = 308,837,559.62
  5. Step 5: Solve for x
    x = 308,837,559.62/21,049.13
  6. Step 6: Final answer
    x = 14,672.22

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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.