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Finding the Fourth Proportional to 23,460.57, 32,375.60 and 12,850.38

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Solution

The fourth proportional to 23,460.57, 32,375.60 and 12,850.38 is: 17,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460.57 : 32,375.60 = 12,850.38 : x
  2. Step 2: Convert to fraction form
    23,460.57/32,375.60 = 12,850.38/x
  3. Step 3: Cross multiply
    23,460.57x = 32,375.60 × 12,850.38
  4. Step 4: Simplify right side
    23,460.57x = 416,038,698.48
  5. Step 5: Solve for x
    x = 416,038,698.48/23,460.57
  6. Step 6: Final answer
    x = 17,733.53

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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.