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Finding the Fourth Proportional to 17,434.80, 26,163 and 7,046.64

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Solution

The fourth proportional to 17,434.80, 26,163 and 7,046.64 is: 10,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.80 : 26,163 = 7,046.64 : x
  2. Step 2: Convert to fraction form
    17,434.80/26,163 = 7,046.64/x
  3. Step 3: Cross multiply
    17,434.80x = 26,163 × 7,046.64
  4. Step 4: Simplify right side
    17,434.80x = 184,361,242.32
  5. Step 5: Solve for x
    x = 184,361,242.32/17,434.80
  6. Step 6: Final answer
    x = 10,574.33

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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.