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Finding the Fourth Proportional to 22,696.25, 31,320.83 and 12,760.25

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Solution

The fourth proportional to 22,696.25, 31,320.83 and 12,760.25 is: 17,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.25 : 31,320.83 = 12,760.25 : x
  2. Step 2: Convert to fraction form
    22,696.25/31,320.83 = 12,760.25/x
  3. Step 3: Cross multiply
    22,696.25x = 31,320.83 × 12,760.25
  4. Step 4: Simplify right side
    22,696.25x = 399,661,557.21
  5. Step 5: Solve for x
    x = 399,661,557.21/22,696.25
  6. Step 6: Final answer
    x = 17,609.15

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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.