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Finding the Fourth Proportional to 23,832.50, 35,721.02 and 17,534.21

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Solution

The fourth proportional to 23,832.50, 35,721.02 and 17,534.21 is: 26,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.50 : 35,721.02 = 17,534.21 : x
  2. Step 2: Convert to fraction form
    23,832.50/35,721.02 = 17,534.21/x
  3. Step 3: Cross multiply
    23,832.50x = 35,721.02 × 17,534.21
  4. Step 4: Simplify right side
    23,832.50x = 626,339,599.82
  5. Step 5: Solve for x
    x = 626,339,599.82/23,832.50
  6. Step 6: Final answer
    x = 26,280.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.