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Finding the Fourth Proportional to 17,358.12, 23,957.28 and 10,287

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Solution

The fourth proportional to 17,358.12, 23,957.28 and 10,287 is: 14,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358.12 : 23,957.28 = 10,287 : x
  2. Step 2: Convert to fraction form
    17,358.12/23,957.28 = 10,287/x
  3. Step 3: Cross multiply
    17,358.12x = 23,957.28 × 10,287
  4. Step 4: Simplify right side
    17,358.12x = 246,448,539.36
  5. Step 5: Solve for x
    x = 246,448,539.36/17,358.12
  6. Step 6: Final answer
    x = 14,197.88

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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.