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Finding the Fourth Proportional to 22,683.30, 34,033.05 and 9,539.70

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Solution

The fourth proportional to 22,683.30, 34,033.05 and 9,539.70 is: 14,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.30 : 34,033.05 = 9,539.70 : x
  2. Step 2: Convert to fraction form
    22,683.30/34,033.05 = 9,539.70/x
  3. Step 3: Cross multiply
    22,683.30x = 34,033.05 × 9,539.70
  4. Step 4: Simplify right side
    22,683.30x = 324,665,087.09
  5. Step 5: Solve for x
    x = 324,665,087.09/22,683.30
  6. Step 6: Final answer
    x = 14,312.96

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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.