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Finding the Fourth Proportional to 20,808.40, 31,226.28 and 7,660.94

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Solution

The fourth proportional to 20,808.40, 31,226.28 and 7,660.94 is: 11,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.40 : 31,226.28 = 7,660.94 : x
  2. Step 2: Convert to fraction form
    20,808.40/31,226.28 = 7,660.94/x
  3. Step 3: Cross multiply
    20,808.40x = 31,226.28 × 7,660.94
  4. Step 4: Simplify right side
    20,808.40x = 239,222,657.50
  5. Step 5: Solve for x
    x = 239,222,657.50/20,808.40
  6. Step 6: Final answer
    x = 11,496.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.