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Finding the Fourth Proportional to 20,322.78, 30,483.90 and 10,456.80

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Solution

The fourth proportional to 20,322.78, 30,483.90 and 10,456.80 is: 15,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.78 : 30,483.90 = 10,456.80 : x
  2. Step 2: Convert to fraction form
    20,322.78/30,483.90 = 10,456.80/x
  3. Step 3: Cross multiply
    20,322.78x = 30,483.90 × 10,456.80
  4. Step 4: Simplify right side
    20,322.78x = 318,764,045.52
  5. Step 5: Solve for x
    x = 318,764,045.52/20,322.78
  6. Step 6: Final answer
    x = 15,685.06

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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.