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Finding the Fourth Proportional to 20,552.64, 30,825.52 and 7,402.56

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Solution

The fourth proportional to 20,552.64, 30,825.52 and 7,402.56 is: 11,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.64 : 30,825.52 = 7,402.56 : x
  2. Step 2: Convert to fraction form
    20,552.64/30,825.52 = 7,402.56/x
  3. Step 3: Cross multiply
    20,552.64x = 30,825.52 × 7,402.56
  4. Step 4: Simplify right side
    20,552.64x = 228,187,761.33
  5. Step 5: Solve for x
    x = 228,187,761.33/20,552.64
  6. Step 6: Final answer
    x = 11,102.60

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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.