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Finding the Fourth Proportional to 23,297.62, 32,149.65 and 12,687.22

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Solution

The fourth proportional to 23,297.62, 32,149.65 and 12,687.22 is: 17,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.62 : 32,149.65 = 12,687.22 : x
  2. Step 2: Convert to fraction form
    23,297.62/32,149.65 = 12,687.22/x
  3. Step 3: Cross multiply
    23,297.62x = 32,149.65 × 12,687.22
  4. Step 4: Simplify right side
    23,297.62x = 407,889,682.47
  5. Step 5: Solve for x
    x = 407,889,682.47/23,297.62
  6. Step 6: Final answer
    x = 17,507.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.