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Finding the Fourth Proportional to 20,283.52, 30,427.84 and 7,803.20

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Solution

The fourth proportional to 20,283.52, 30,427.84 and 7,803.20 is: 11,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.52 : 30,427.84 = 7,803.20 : x
  2. Step 2: Convert to fraction form
    20,283.52/30,427.84 = 7,803.20/x
  3. Step 3: Cross multiply
    20,283.52x = 30,427.84 × 7,803.20
  4. Step 4: Simplify right side
    20,283.52x = 237,434,521.09
  5. Step 5: Solve for x
    x = 237,434,521.09/20,283.52
  6. Step 6: Final answer
    x = 11,705.78

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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.