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Finding the Fourth Proportional to 20,648.50, 30,972.75 and 6,798.58

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Solution

The fourth proportional to 20,648.50, 30,972.75 and 6,798.58 is: 10,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.50 : 30,972.75 = 6,798.58 : x
  2. Step 2: Convert to fraction form
    20,648.50/30,972.75 = 6,798.58/x
  3. Step 3: Cross multiply
    20,648.50x = 30,972.75 × 6,798.58
  4. Step 4: Simplify right side
    20,648.50x = 210,570,718.70
  5. Step 5: Solve for x
    x = 210,570,718.70/20,648.50
  6. Step 6: Final answer
    x = 10,197.87

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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.