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Finding the Fourth Proportional to 22,709.85, 34,064.78 and 17,783.70

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Solution

The fourth proportional to 22,709.85, 34,064.78 and 17,783.70 is: 26,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.85 : 34,064.78 = 17,783.70 : x
  2. Step 2: Convert to fraction form
    22,709.85/34,064.78 = 17,783.70/x
  3. Step 3: Cross multiply
    22,709.85x = 34,064.78 × 17,783.70
  4. Step 4: Simplify right side
    22,709.85x = 605,797,739.17
  5. Step 5: Solve for x
    x = 605,797,739.17/22,709.85
  6. Step 6: Final answer
    x = 26,675.55

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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.