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Finding the Fourth Proportional to 22,084.62, 30,476.78 and 12,658.66

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Solution

The fourth proportional to 22,084.62, 30,476.78 and 12,658.66 is: 17,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.62 : 30,476.78 = 12,658.66 : x
  2. Step 2: Convert to fraction form
    22,084.62/30,476.78 = 12,658.66/x
  3. Step 3: Cross multiply
    22,084.62x = 30,476.78 × 12,658.66
  4. Step 4: Simplify right side
    22,084.62x = 385,795,195.91
  5. Step 5: Solve for x
    x = 385,795,195.91/22,084.62
  6. Step 6: Final answer
    x = 17,468.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.