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Finding the Fourth Proportional to 22,866.77, 31,553.10 and 12,794.11

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Solution

The fourth proportional to 22,866.77, 31,553.10 and 12,794.11 is: 17,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.77 : 31,553.10 = 12,794.11 : x
  2. Step 2: Convert to fraction form
    22,866.77/31,553.10 = 12,794.11/x
  3. Step 3: Cross multiply
    22,866.77x = 31,553.10 × 12,794.11
  4. Step 4: Simplify right side
    22,866.77x = 403,693,753.36
  5. Step 5: Solve for x
    x = 403,693,753.36/22,866.77
  6. Step 6: Final answer
    x = 17,654.16

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1.5x scale

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.