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Finding the Fourth Proportional to 27,196.26, 40,769.78 and 9,661.98

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Solution

The fourth proportional to 27,196.26, 40,769.78 and 9,661.98 is: 14,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.26 : 40,769.78 = 9,661.98 : x
  2. Step 2: Convert to fraction form
    27,196.26/40,769.78 = 9,661.98/x
  3. Step 3: Cross multiply
    27,196.26x = 40,769.78 × 9,661.98
  4. Step 4: Simplify right side
    27,196.26x = 393,916,957.89
  5. Step 5: Solve for x
    x = 393,916,957.89/27,196.26
  6. Step 6: Final answer
    x = 14,484.23

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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.