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Finding the Fourth Proportional to 20,937.84, 31,401.90 and 6,142.79

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Solution

The fourth proportional to 20,937.84, 31,401.90 and 6,142.79 is: 9,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.84 : 31,401.90 = 6,142.79 : x
  2. Step 2: Convert to fraction form
    20,937.84/31,401.90 = 6,142.79/x
  3. Step 3: Cross multiply
    20,937.84x = 31,401.90 × 6,142.79
  4. Step 4: Simplify right side
    20,937.84x = 192,895,120.29
  5. Step 5: Solve for x
    x = 192,895,120.29/20,937.84
  6. Step 6: Final answer
    x = 9,212.75

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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.