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Finding the Fourth Proportional to 23,106.47, 31,887.14 and 12,496.14

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Solution

The fourth proportional to 23,106.47, 31,887.14 and 12,496.14 is: 17,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.47 : 31,887.14 = 12,496.14 : x
  2. Step 2: Convert to fraction form
    23,106.47/31,887.14 = 12,496.14/x
  3. Step 3: Cross multiply
    23,106.47x = 31,887.14 × 12,496.14
  4. Step 4: Simplify right side
    23,106.47x = 398,466,103.16
  5. Step 5: Solve for x
    x = 398,466,103.16/23,106.47
  6. Step 6: Final answer
    x = 17,244.79

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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.