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Finding the Fourth Proportional to 22,815, 31,485.38 and 12,743.87

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Solution

The fourth proportional to 22,815, 31,485.38 and 12,743.87 is: 17,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815 : 31,485.38 = 12,743.87 : x
  2. Step 2: Convert to fraction form
    22,815/31,485.38 = 12,743.87/x
  3. Step 3: Cross multiply
    22,815x = 31,485.38 × 12,743.87
  4. Step 4: Simplify right side
    22,815x = 401,245,368.47
  5. Step 5: Solve for x
    x = 401,245,368.47/22,815
  6. Step 6: Final answer
    x = 17,586.91

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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.