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Finding the Fourth Proportional to 20,113.47, 30,171.74 and 5,322

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Solution

The fourth proportional to 20,113.47, 30,171.74 and 5,322 is: 7,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.47 : 30,171.74 = 5,322 : x
  2. Step 2: Convert to fraction form
    20,113.47/30,171.74 = 5,322/x
  3. Step 3: Cross multiply
    20,113.47x = 30,171.74 × 5,322
  4. Step 4: Simplify right side
    20,113.47x = 160,574,000.28
  5. Step 5: Solve for x
    x = 160,574,000.28/20,113.47
  6. Step 6: Final answer
    x = 7,983.41

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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.