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Finding the Fourth Proportional to 22,706.73, 34,057.94 and 7,121.61

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Solution

The fourth proportional to 22,706.73, 34,057.94 and 7,121.61 is: 10,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.73 : 34,057.94 = 7,121.61 : x
  2. Step 2: Convert to fraction form
    22,706.73/34,057.94 = 7,121.61/x
  3. Step 3: Cross multiply
    22,706.73x = 34,057.94 × 7,121.61
  4. Step 4: Simplify right side
    22,706.73x = 242,547,330.48
  5. Step 5: Solve for x
    x = 242,547,330.48/22,706.73
  6. Step 6: Final answer
    x = 10,681.74

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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.