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Finding the Fourth Proportional to 19,820.96, 29,722.78 and 7,500.32

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Solution

The fourth proportional to 19,820.96, 29,722.78 and 7,500.32 is: 11,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.96 : 29,722.78 = 7,500.32 : x
  2. Step 2: Convert to fraction form
    19,820.96/29,722.78 = 7,500.32/x
  3. Step 3: Cross multiply
    19,820.96x = 29,722.78 × 7,500.32
  4. Step 4: Simplify right side
    19,820.96x = 222,930,175.17
  5. Step 5: Solve for x
    x = 222,930,175.17/19,820.96
  6. Step 6: Final answer
    x = 11,247.20

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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.