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Finding the Fourth Proportional to 17,332.78, 23,919.24 and 9,375

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Solution

The fourth proportional to 17,332.78, 23,919.24 and 9,375 is: 12,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,332.78 : 23,919.24 = 9,375 : x
  2. Step 2: Convert to fraction form
    17,332.78/23,919.24 = 9,375/x
  3. Step 3: Cross multiply
    17,332.78x = 23,919.24 × 9,375
  4. Step 4: Simplify right side
    17,332.78x = 224,242,875.00
  5. Step 5: Solve for x
    x = 224,242,875.00/17,332.78
  6. Step 6: Final answer
    x = 12,937.50

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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.