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Finding the Fourth Proportional to 20,608.44, 30,914.93 and 6,565.20

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Solution

The fourth proportional to 20,608.44, 30,914.93 and 6,565.20 is: 9,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,608.44 : 30,914.93 = 6,565.20 : x
  2. Step 2: Convert to fraction form
    20,608.44/30,914.93 = 6,565.20/x
  3. Step 3: Cross multiply
    20,608.44x = 30,914.93 × 6,565.20
  4. Step 4: Simplify right side
    20,608.44x = 202,962,698.44
  5. Step 5: Solve for x
    x = 202,962,698.44/20,608.44
  6. Step 6: Final answer
    x = 9,848.52

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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.