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Finding the Fourth Proportional to 20,916, 31,367.35 and 6,872.79

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Solution

The fourth proportional to 20,916, 31,367.35 and 6,872.79 is: 10,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 31,367.35 = 6,872.79 : x
  2. Step 2: Convert to fraction form
    20,916/31,367.35 = 6,872.79/x
  3. Step 3: Cross multiply
    20,916x = 31,367.35 × 6,872.79
  4. Step 4: Simplify right side
    20,916x = 215,581,209.41
  5. Step 5: Solve for x
    x = 215,581,209.41/20,916
  6. Step 6: Final answer
    x = 10,307.00

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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.