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Finding the Fourth Proportional to 21,217.40, 31,830.05 and 6,986.70

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Solution

The fourth proportional to 21,217.40, 31,830.05 and 6,986.70 is: 10,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.40 : 31,830.05 = 6,986.70 : x
  2. Step 2: Convert to fraction form
    21,217.40/31,830.05 = 6,986.70/x
  3. Step 3: Cross multiply
    21,217.40x = 31,830.05 × 6,986.70
  4. Step 4: Simplify right side
    21,217.40x = 222,386,872.78
  5. Step 5: Solve for x
    x = 222,386,872.78/21,217.40
  6. Step 6: Final answer
    x = 10,481.34

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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.