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Finding the Fourth Proportional to 23,184.64, 31,994.22 and 13,753

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Solution

The fourth proportional to 23,184.64, 31,994.22 and 13,753 is: 18,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.64 : 31,994.22 = 13,753 : x
  2. Step 2: Convert to fraction form
    23,184.64/31,994.22 = 13,753/x
  3. Step 3: Cross multiply
    23,184.64x = 31,994.22 × 13,753
  4. Step 4: Simplify right side
    23,184.64x = 440,016,507.66
  5. Step 5: Solve for x
    x = 440,016,507.66/23,184.64
  6. Step 6: Final answer
    x = 18,978.79

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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.