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Finding the Fourth Proportional to 29,727.40, 41,023.65 and 16,299.22

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Solution

The fourth proportional to 29,727.40, 41,023.65 and 16,299.22 is: 22,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727.40 : 41,023.65 = 16,299.22 : x
  2. Step 2: Convert to fraction form
    29,727.40/41,023.65 = 16,299.22/x
  3. Step 3: Cross multiply
    29,727.40x = 41,023.65 × 16,299.22
  4. Step 4: Simplify right side
    29,727.40x = 668,653,496.55
  5. Step 5: Solve for x
    x = 668,653,496.55/29,727.40
  6. Step 6: Final answer
    x = 22,492.83

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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.