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Finding the Fourth Proportional to 11,822.72, 17,723.18 and 4,026.11

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Solution

The fourth proportional to 11,822.72, 17,723.18 and 4,026.11 is: 6,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.72 : 17,723.18 = 4,026.11 : x
  2. Step 2: Convert to fraction form
    11,822.72/17,723.18 = 4,026.11/x
  3. Step 3: Cross multiply
    11,822.72x = 17,723.18 × 4,026.11
  4. Step 4: Simplify right side
    11,822.72x = 71,355,393.68
  5. Step 5: Solve for x
    x = 71,355,393.68/11,822.72
  6. Step 6: Final answer
    x = 6,035.45

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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.