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Finding the Fourth Proportional to 17,404, 26,106.96 and 5,092.96

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Solution

The fourth proportional to 17,404, 26,106.96 and 5,092.96 is: 7,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404 : 26,106.96 = 5,092.96 : x
  2. Step 2: Convert to fraction form
    17,404/26,106.96 = 5,092.96/x
  3. Step 3: Cross multiply
    17,404x = 26,106.96 × 5,092.96
  4. Step 4: Simplify right side
    17,404x = 132,961,703.00
  5. Step 5: Solve for x
    x = 132,961,703.00/17,404
  6. Step 6: Final answer
    x = 7,639.72

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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.