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Finding the Fourth Proportional to 17,675.88, 26,508.19 and 5,827.45

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Solution

The fourth proportional to 17,675.88, 26,508.19 and 5,827.45 is: 8,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.88 : 26,508.19 = 5,827.45 : x
  2. Step 2: Convert to fraction form
    17,675.88/26,508.19 = 5,827.45/x
  3. Step 3: Cross multiply
    17,675.88x = 26,508.19 × 5,827.45
  4. Step 4: Simplify right side
    17,675.88x = 154,475,070.98
  5. Step 5: Solve for x
    x = 154,475,070.98/17,675.88
  6. Step 6: Final answer
    x = 8,739.31

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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.