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Finding the Fourth Proportional to 22,844.54, 34,284.12 and 9,706.13

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Solution

The fourth proportional to 22,844.54, 34,284.12 and 9,706.13 is: 14,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.54 : 34,284.12 = 9,706.13 : x
  2. Step 2: Convert to fraction form
    22,844.54/34,284.12 = 9,706.13/x
  3. Step 3: Cross multiply
    22,844.54x = 34,284.12 × 9,706.13
  4. Step 4: Simplify right side
    22,844.54x = 332,766,125.66
  5. Step 5: Solve for x
    x = 332,766,125.66/22,844.54
  6. Step 6: Final answer
    x = 14,566.55

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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.