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Finding the Fourth Proportional to 15,050.82, 20,777.64 and 9,749.90

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Solution

The fourth proportional to 15,050.82, 20,777.64 and 9,749.90 is: 13,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,050.82 : 20,777.64 = 9,749.90 : x
  2. Step 2: Convert to fraction form
    15,050.82/20,777.64 = 9,749.90/x
  3. Step 3: Cross multiply
    15,050.82x = 20,777.64 × 9,749.90
  4. Step 4: Simplify right side
    15,050.82x = 202,579,912.24
  5. Step 5: Solve for x
    x = 202,579,912.24/15,050.82
  6. Step 6: Final answer
    x = 13,459.73

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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.