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Finding the Fourth Proportional to 22,725, 31,357.26 and 13,164.57

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Solution

The fourth proportional to 22,725, 31,357.26 and 13,164.57 is: 18,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725 : 31,357.26 = 13,164.57 : x
  2. Step 2: Convert to fraction form
    22,725/31,357.26 = 13,164.57/x
  3. Step 3: Cross multiply
    22,725x = 31,357.26 × 13,164.57
  4. Step 4: Simplify right side
    22,725x = 412,804,844.28
  5. Step 5: Solve for x
    x = 412,804,844.28/22,725
  6. Step 6: Final answer
    x = 18,165.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.