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Finding the Fourth Proportional to 23,238.28, 34,871.08 and 9,199.66

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Solution

The fourth proportional to 23,238.28, 34,871.08 and 9,199.66 is: 13,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.28 : 34,871.08 = 9,199.66 : x
  2. Step 2: Convert to fraction form
    23,238.28/34,871.08 = 9,199.66/x
  3. Step 3: Cross multiply
    23,238.28x = 34,871.08 × 9,199.66
  4. Step 4: Simplify right side
    23,238.28x = 320,802,079.83
  5. Step 5: Solve for x
    x = 320,802,079.83/23,238.28
  6. Step 6: Final answer
    x = 13,804.90

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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.