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Finding the Fourth Proportional to 22,847.30, 31,532.21 and 12,776.30

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Solution

The fourth proportional to 22,847.30, 31,532.21 and 12,776.30 is: 17,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.30 : 31,532.21 = 12,776.30 : x
  2. Step 2: Convert to fraction form
    22,847.30/31,532.21 = 12,776.30/x
  3. Step 3: Cross multiply
    22,847.30x = 31,532.21 × 12,776.30
  4. Step 4: Simplify right side
    22,847.30x = 402,864,940.83
  5. Step 5: Solve for x
    x = 402,864,940.83/22,847.30
  6. Step 6: Final answer
    x = 17,632.94

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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.