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Finding the Fourth Proportional to 19,677.03, 29,508.25 and 7,986.30

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Solution

The fourth proportional to 19,677.03, 29,508.25 and 7,986.30 is: 11,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.03 : 29,508.25 = 7,986.30 : x
  2. Step 2: Convert to fraction form
    19,677.03/29,508.25 = 7,986.30/x
  3. Step 3: Cross multiply
    19,677.03x = 29,508.25 × 7,986.30
  4. Step 4: Simplify right side
    19,677.03x = 235,661,549.50
  5. Step 5: Solve for x
    x = 235,661,549.50/19,677.03
  6. Step 6: Final answer
    x = 11,976.48

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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.