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Finding the Fourth Proportional to 22,689.46, 34,035.81 and 6,049.40

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Solution

The fourth proportional to 22,689.46, 34,035.81 and 6,049.40 is: 9,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.46 : 34,035.81 = 6,049.40 : x
  2. Step 2: Convert to fraction form
    22,689.46/34,035.81 = 6,049.40/x
  3. Step 3: Cross multiply
    22,689.46x = 34,035.81 × 6,049.40
  4. Step 4: Simplify right side
    22,689.46x = 205,896,198.77
  5. Step 5: Solve for x
    x = 205,896,198.77/22,689.46
  6. Step 6: Final answer
    x = 9,074.53

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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.