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Finding the Fourth Proportional to 30,266.96, 41,767.84 and 16,838.18

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Solution

The fourth proportional to 30,266.96, 41,767.84 and 16,838.18 is: 23,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.96 : 41,767.84 = 16,838.18 : x
  2. Step 2: Convert to fraction form
    30,266.96/41,767.84 = 16,838.18/x
  3. Step 3: Cross multiply
    30,266.96x = 41,767.84 × 16,838.18
  4. Step 4: Simplify right side
    30,266.96x = 703,294,115.10
  5. Step 5: Solve for x
    x = 703,294,115.10/30,266.96
  6. Step 6: Final answer
    x = 23,236.36

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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.