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Finding the Fourth Proportional to 17,188, 25,781.96 and 4,708.12

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Solution

The fourth proportional to 17,188, 25,781.96 and 4,708.12 is: 7,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188 : 25,781.96 = 4,708.12 : x
  2. Step 2: Convert to fraction form
    17,188/25,781.96 = 4,708.12/x
  3. Step 3: Cross multiply
    17,188x = 25,781.96 × 4,708.12
  4. Step 4: Simplify right side
    17,188x = 121,384,561.52
  5. Step 5: Solve for x
    x = 121,384,561.52/17,188
  6. Step 6: Final answer
    x = 7,062.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.