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Finding the Fourth Proportional to 23,107, 31,887.64 and 12,496.62

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Solution

The fourth proportional to 23,107, 31,887.64 and 12,496.62 is: 17,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107 : 31,887.64 = 12,496.62 : x
  2. Step 2: Convert to fraction form
    23,107/31,887.64 = 12,496.62/x
  3. Step 3: Cross multiply
    23,107x = 31,887.64 × 12,496.62
  4. Step 4: Simplify right side
    23,107x = 398,487,719.78
  5. Step 5: Solve for x
    x = 398,487,719.78/23,107
  6. Step 6: Final answer
    x = 17,245.32

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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.