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Finding the Fourth Proportional to 12,808.24, 17,680.24 and 8,618.92

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Solution

The fourth proportional to 12,808.24, 17,680.24 and 8,618.92 is: 11,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.24 : 17,680.24 = 8,618.92 : x
  2. Step 2: Convert to fraction form
    12,808.24/17,680.24 = 8,618.92/x
  3. Step 3: Cross multiply
    12,808.24x = 17,680.24 × 8,618.92
  4. Step 4: Simplify right side
    12,808.24x = 152,384,574.14
  5. Step 5: Solve for x
    x = 152,384,574.14/12,808.24
  6. Step 6: Final answer
    x = 11,897.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.