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Finding the Fourth Proportional to 22,616.26, 31,210.42 and 12,680.26

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Solution

The fourth proportional to 22,616.26, 31,210.42 and 12,680.26 is: 17,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.26 : 31,210.42 = 12,680.26 : x
  2. Step 2: Convert to fraction form
    22,616.26/31,210.42 = 12,680.26/x
  3. Step 3: Cross multiply
    22,616.26x = 31,210.42 × 12,680.26
  4. Step 4: Simplify right side
    22,616.26x = 395,756,240.31
  5. Step 5: Solve for x
    x = 395,756,240.31/22,616.26
  6. Step 6: Final answer
    x = 17,498.75

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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.