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Finding the Fourth Proportional to 22,677.34, 34,027.53 and 10,194.85

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Solution

The fourth proportional to 22,677.34, 34,027.53 and 10,194.85 is: 15,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.34 : 34,027.53 = 10,194.85 : x
  2. Step 2: Convert to fraction form
    22,677.34/34,027.53 = 10,194.85/x
  3. Step 3: Cross multiply
    22,677.34x = 34,027.53 × 10,194.85
  4. Step 4: Simplify right side
    22,677.34x = 346,905,564.22
  5. Step 5: Solve for x
    x = 346,905,564.22/22,677.34
  6. Step 6: Final answer
    x = 15,297.45

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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.