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Finding the Fourth Proportional to 12,294.90, 18,442.26 and 3,529.76

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Solution

The fourth proportional to 12,294.90, 18,442.26 and 3,529.76 is: 5,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.90 : 18,442.26 = 3,529.76 : x
  2. Step 2: Convert to fraction form
    12,294.90/18,442.26 = 3,529.76/x
  3. Step 3: Cross multiply
    12,294.90x = 18,442.26 × 3,529.76
  4. Step 4: Simplify right side
    12,294.90x = 65,096,659.45
  5. Step 5: Solve for x
    x = 65,096,659.45/12,294.90
  6. Step 6: Final answer
    x = 5,294.61

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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.