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Finding the Fourth Proportional to 22,682.60, 34,023.96 and 6,887.76

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Solution

The fourth proportional to 22,682.60, 34,023.96 and 6,887.76 is: 10,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.60 : 34,023.96 = 6,887.76 : x
  2. Step 2: Convert to fraction form
    22,682.60/34,023.96 = 6,887.76/x
  3. Step 3: Cross multiply
    22,682.60x = 34,023.96 × 6,887.76
  4. Step 4: Simplify right side
    22,682.60x = 234,348,870.73
  5. Step 5: Solve for x
    x = 234,348,870.73/22,682.60
  6. Step 6: Final answer
    x = 10,331.66

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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.