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Finding the Fourth Proportional to 20,451.97, 30,671.56 and 5,657.32

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Solution

The fourth proportional to 20,451.97, 30,671.56 and 5,657.32 is: 8,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.97 : 30,671.56 = 5,657.32 : x
  2. Step 2: Convert to fraction form
    20,451.97/30,671.56 = 5,657.32/x
  3. Step 3: Cross multiply
    20,451.97x = 30,671.56 × 5,657.32
  4. Step 4: Simplify right side
    20,451.97x = 173,518,829.82
  5. Step 5: Solve for x
    x = 173,518,829.82/20,451.97
  6. Step 6: Final answer
    x = 8,484.21

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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.