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Finding the Fourth Proportional to 23,693.88, 32,695.02 and 13,755.96

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Solution

The fourth proportional to 23,693.88, 32,695.02 and 13,755.96 is: 18,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.88 : 32,695.02 = 13,755.96 : x
  2. Step 2: Convert to fraction form
    23,693.88/32,695.02 = 13,755.96/x
  3. Step 3: Cross multiply
    23,693.88x = 32,695.02 × 13,755.96
  4. Step 4: Simplify right side
    23,693.88x = 449,751,387.32
  5. Step 5: Solve for x
    x = 449,751,387.32/23,693.88
  6. Step 6: Final answer
    x = 18,981.75

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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.