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Finding the Fourth Proportional to 23,843.02, 32,895.75 and 13,770.13

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Solution

The fourth proportional to 23,843.02, 32,895.75 and 13,770.13 is: 18,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.02 : 32,895.75 = 13,770.13 : x
  2. Step 2: Convert to fraction form
    23,843.02/32,895.75 = 13,770.13/x
  3. Step 3: Cross multiply
    23,843.02x = 32,895.75 × 13,770.13
  4. Step 4: Simplify right side
    23,843.02x = 452,978,753.95
  5. Step 5: Solve for x
    x = 452,978,753.95/23,843.02
  6. Step 6: Final answer
    x = 18,998.38

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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.