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Finding the Fourth Proportional to 23,520.98, 32,458.82 and 12,910.38

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Solution

The fourth proportional to 23,520.98, 32,458.82 and 12,910.38 is: 17,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.98 : 32,458.82 = 12,910.38 : x
  2. Step 2: Convert to fraction form
    23,520.98/32,458.82 = 12,910.38/x
  3. Step 3: Cross multiply
    23,520.98x = 32,458.82 × 12,910.38
  4. Step 4: Simplify right side
    23,520.98x = 419,055,636.00
  5. Step 5: Solve for x
    x = 419,055,636.00/23,520.98
  6. Step 6: Final answer
    x = 17,816.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.