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Finding the Fourth Proportional to 41,984, 62,986.24 and 12,800

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Solution

The fourth proportional to 41,984, 62,986.24 and 12,800 is: 19,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,984 : 62,986.24 = 12,800 : x
  2. Step 2: Convert to fraction form
    41,984/62,986.24 = 12,800/x
  3. Step 3: Cross multiply
    41,984x = 62,986.24 × 12,800
  4. Step 4: Simplify right side
    41,984x = 806,223,872
  5. Step 5: Solve for x
    x = 806,223,872/41,984
  6. Step 6: Final answer
    x = 19,203.12

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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.