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Finding the Fourth Proportional to 17,434.50, 26,151.78 and 7,046.28

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Solution

The fourth proportional to 17,434.50, 26,151.78 and 7,046.28 is: 10,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.50 : 26,151.78 = 7,046.28 : x
  2. Step 2: Convert to fraction form
    17,434.50/26,151.78 = 7,046.28/x
  3. Step 3: Cross multiply
    17,434.50x = 26,151.78 × 7,046.28
  4. Step 4: Simplify right side
    17,434.50x = 184,272,764.38
  5. Step 5: Solve for x
    x = 184,272,764.38/17,434.50
  6. Step 6: Final answer
    x = 10,569.43

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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.