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Finding the Fourth Proportional to 22,827.66, 34,238.76 and 6,186.66

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Solution

The fourth proportional to 22,827.66, 34,238.76 and 6,186.66 is: 9,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.66 : 34,238.76 = 6,186.66 : x
  2. Step 2: Convert to fraction form
    22,827.66/34,238.76 = 6,186.66/x
  3. Step 3: Cross multiply
    22,827.66x = 34,238.76 × 6,186.66
  4. Step 4: Simplify right side
    22,827.66x = 211,823,566.94
  5. Step 5: Solve for x
    x = 211,823,566.94/22,827.66
  6. Step 6: Final answer
    x = 9,279.25

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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.