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Finding the Fourth Proportional to 22,566.29, 31,141.11 and 12,494.54

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Solution

The fourth proportional to 22,566.29, 31,141.11 and 12,494.54 is: 17,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566.29 : 31,141.11 = 12,494.54 : x
  2. Step 2: Convert to fraction form
    22,566.29/31,141.11 = 12,494.54/x
  3. Step 3: Cross multiply
    22,566.29x = 31,141.11 × 12,494.54
  4. Step 4: Simplify right side
    22,566.29x = 389,093,844.54
  5. Step 5: Solve for x
    x = 389,093,844.54/22,566.29
  6. Step 6: Final answer
    x = 17,242.26

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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.