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Finding the Fourth Proportional to 14,773.34, 22,168.29 and 7,847.66

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Solution

The fourth proportional to 14,773.34, 22,168.29 and 7,847.66 is: 11,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.34 : 22,168.29 = 7,847.66 : x
  2. Step 2: Convert to fraction form
    14,773.34/22,168.29 = 7,847.66/x
  3. Step 3: Cross multiply
    14,773.34x = 22,168.29 × 7,847.66
  4. Step 4: Simplify right side
    14,773.34x = 173,969,202.70
  5. Step 5: Solve for x
    x = 173,969,202.70/14,773.34
  6. Step 6: Final answer
    x = 11,775.89

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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.