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Finding the Fourth Proportional to 23,097.75, 31,874.88 and 12,487.38

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Solution

The fourth proportional to 23,097.75, 31,874.88 and 12,487.38 is: 17,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.75 : 31,874.88 = 12,487.38 : x
  2. Step 2: Convert to fraction form
    23,097.75/31,874.88 = 12,487.38/x
  3. Step 3: Cross multiply
    23,097.75x = 31,874.88 × 12,487.38
  4. Step 4: Simplify right side
    23,097.75x = 398,033,579.64
  5. Step 5: Solve for x
    x = 398,033,579.64/23,097.75
  6. Step 6: Final answer
    x = 17,232.57

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Why These Related Problems?

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