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Finding the Fourth Proportional to 34,833.46, 52,233.72 and 13,496.17

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Solution

The fourth proportional to 34,833.46, 52,233.72 and 13,496.17 is: 20,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,833.46 : 52,233.72 = 13,496.17 : x
  2. Step 2: Convert to fraction form
    34,833.46/52,233.72 = 13,496.17/x
  3. Step 3: Cross multiply
    34,833.46x = 52,233.72 × 13,496.17
  4. Step 4: Simplify right side
    34,833.46x = 704,954,937.42
  5. Step 5: Solve for x
    x = 704,954,937.42/34,833.46
  6. Step 6: Final answer
    x = 20,237.87

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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.