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Finding the Fourth Proportional to 22,832.69, 34,246.06 and 9,688.21

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Solution

The fourth proportional to 22,832.69, 34,246.06 and 9,688.21 is: 14,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.69 : 34,246.06 = 9,688.21 : x
  2. Step 2: Convert to fraction form
    22,832.69/34,246.06 = 9,688.21/x
  3. Step 3: Cross multiply
    22,832.69x = 34,246.06 × 9,688.21
  4. Step 4: Simplify right side
    22,832.69x = 331,782,911.12
  5. Step 5: Solve for x
    x = 331,782,911.12/22,832.69
  6. Step 6: Final answer
    x = 14,531.05

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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.