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Finding the Fourth Proportional to 23,411.63, 32,334.13 and 21,640.16

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Solution

The fourth proportional to 23,411.63, 32,334.13 and 21,640.16 is: 29,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.63 : 32,334.13 = 21,640.16 : x
  2. Step 2: Convert to fraction form
    23,411.63/32,334.13 = 21,640.16/x
  3. Step 3: Cross multiply
    23,411.63x = 32,334.13 × 21,640.16
  4. Step 4: Simplify right side
    23,411.63x = 699,715,976.09
  5. Step 5: Solve for x
    x = 699,715,976.09/23,411.63
  6. Step 6: Final answer
    x = 29,887.53

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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.