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Finding the Fourth Proportional to 17,727.30, 26,584.65 and 7,848.90

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Solution

The fourth proportional to 17,727.30, 26,584.65 and 7,848.90 is: 11,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.30 : 26,584.65 = 7,848.90 : x
  2. Step 2: Convert to fraction form
    17,727.30/26,584.65 = 7,848.90/x
  3. Step 3: Cross multiply
    17,727.30x = 26,584.65 × 7,848.90
  4. Step 4: Simplify right side
    17,727.30x = 208,660,259.39
  5. Step 5: Solve for x
    x = 208,660,259.39/17,727.30
  6. Step 6: Final answer
    x = 11,770.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.