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Finding the Fourth Proportional to 26,547.66, 39,827.97 and 8,079.66

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Solution

The fourth proportional to 26,547.66, 39,827.97 and 8,079.66 is: 12,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,547.66 : 39,827.97 = 8,079.66 : x
  2. Step 2: Convert to fraction form
    26,547.66/39,827.97 = 8,079.66/x
  3. Step 3: Cross multiply
    26,547.66x = 39,827.97 × 8,079.66
  4. Step 4: Simplify right side
    26,547.66x = 321,796,456.09
  5. Step 5: Solve for x
    x = 321,796,456.09/26,547.66
  6. Step 6: Final answer
    x = 12,121.46

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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.