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Finding the Fourth Proportional to 22,005, 32,985.63 and 10,297.26

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Solution

The fourth proportional to 22,005, 32,985.63 and 10,297.26 is: 15,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 32,985.63 = 10,297.26 : x
  2. Step 2: Convert to fraction form
    22,005/32,985.63 = 10,297.26/x
  3. Step 3: Cross multiply
    22,005x = 32,985.63 × 10,297.26
  4. Step 4: Simplify right side
    22,005x = 339,661,608.37
  5. Step 5: Solve for x
    x = 339,661,608.37/22,005
  6. Step 6: Final answer
    x = 15,435.66

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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.