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Finding the Fourth Proportional to 21,351.74, 32,028.28 and 7,311.20

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Solution

The fourth proportional to 21,351.74, 32,028.28 and 7,311.20 is: 10,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351.74 : 32,028.28 = 7,311.20 : x
  2. Step 2: Convert to fraction form
    21,351.74/32,028.28 = 7,311.20/x
  3. Step 3: Cross multiply
    21,351.74x = 32,028.28 × 7,311.20
  4. Step 4: Simplify right side
    21,351.74x = 234,164,982.32
  5. Step 5: Solve for x
    x = 234,164,982.32/21,351.74
  6. Step 6: Final answer
    x = 10,967.02

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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.