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Finding the Fourth Proportional to 34,233.84, 51,337.80 and 13,446

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Solution

The fourth proportional to 34,233.84, 51,337.80 and 13,446 is: 20,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,233.84 : 51,337.80 = 13,446 : x
  2. Step 2: Convert to fraction form
    34,233.84/51,337.80 = 13,446/x
  3. Step 3: Cross multiply
    34,233.84x = 51,337.80 × 13,446
  4. Step 4: Simplify right side
    34,233.84x = 690,288,058.80
  5. Step 5: Solve for x
    x = 690,288,058.80/34,233.84
  6. Step 6: Final answer
    x = 20,163.91

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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.