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Finding the Fourth Proportional to 23,097.37, 31,874.36 and 12,487

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Solution

The fourth proportional to 23,097.37, 31,874.36 and 12,487 is: 17,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.37 : 31,874.36 = 12,487 : x
  2. Step 2: Convert to fraction form
    23,097.37/31,874.36 = 12,487/x
  3. Step 3: Cross multiply
    23,097.37x = 31,874.36 × 12,487
  4. Step 4: Simplify right side
    23,097.37x = 398,015,164.54
  5. Step 5: Solve for x
    x = 398,015,164.54/23,097.37
  6. Step 6: Final answer
    x = 17,232.06

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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.