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Finding the Fourth Proportional to 22,739.53, 34,116.06 and 11,654.02

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Solution

The fourth proportional to 22,739.53, 34,116.06 and 11,654.02 is: 17,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,739.53 : 34,116.06 = 11,654.02 : x
  2. Step 2: Convert to fraction form
    22,739.53/34,116.06 = 11,654.02/x
  3. Step 3: Cross multiply
    22,739.53x = 34,116.06 × 11,654.02
  4. Step 4: Simplify right side
    22,739.53x = 397,589,245.56
  5. Step 5: Solve for x
    x = 397,589,245.56/22,739.53
  6. Step 6: Final answer
    x = 17,484.50

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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.