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Finding the Fourth Proportional to 22,001.26, 32,998.38 and 6,415.24

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Solution

The fourth proportional to 22,001.26, 32,998.38 and 6,415.24 is: 9,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001.26 : 32,998.38 = 6,415.24 : x
  2. Step 2: Convert to fraction form
    22,001.26/32,998.38 = 6,415.24/x
  3. Step 3: Cross multiply
    22,001.26x = 32,998.38 × 6,415.24
  4. Step 4: Simplify right side
    22,001.26x = 211,692,527.31
  5. Step 5: Solve for x
    x = 211,692,527.31/22,001.26
  6. Step 6: Final answer
    x = 9,621.84

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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.