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Finding the Fourth Proportional to 22,592.50, 31,175.41 and 13,033.26

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Solution

The fourth proportional to 22,592.50, 31,175.41 and 13,033.26 is: 17,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.50 : 31,175.41 = 13,033.26 : x
  2. Step 2: Convert to fraction form
    22,592.50/31,175.41 = 13,033.26/x
  3. Step 3: Cross multiply
    22,592.50x = 31,175.41 × 13,033.26
  4. Step 4: Simplify right side
    22,592.50x = 406,317,224.14
  5. Step 5: Solve for x
    x = 406,317,224.14/22,592.50
  6. Step 6: Final answer
    x = 17,984.61

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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.