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Finding the Fourth Proportional to 20,328.17, 30,471.80 and 9,782.78

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Solution

The fourth proportional to 20,328.17, 30,471.80 and 9,782.78 is: 14,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.17 : 30,471.80 = 9,782.78 : x
  2. Step 2: Convert to fraction form
    20,328.17/30,471.80 = 9,782.78/x
  3. Step 3: Cross multiply
    20,328.17x = 30,471.80 × 9,782.78
  4. Step 4: Simplify right side
    20,328.17x = 298,098,714.33
  5. Step 5: Solve for x
    x = 298,098,714.33/20,328.17
  6. Step 6: Final answer
    x = 14,664.32

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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.