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Finding the Fourth Proportional to 23,834.62, 32,891.16 and 13,224.32

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Solution

The fourth proportional to 23,834.62, 32,891.16 and 13,224.32 is: 18,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.62 : 32,891.16 = 13,224.32 : x
  2. Step 2: Convert to fraction form
    23,834.62/32,891.16 = 13,224.32/x
  3. Step 3: Cross multiply
    23,834.62x = 32,891.16 × 13,224.32
  4. Step 4: Simplify right side
    23,834.62x = 434,963,225.01
  5. Step 5: Solve for x
    x = 434,963,225.01/23,834.62
  6. Step 6: Final answer
    x = 18,249.22

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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.