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Finding the Fourth Proportional to 16,220.71, 22,388.65 and 9,151.23

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Solution

The fourth proportional to 16,220.71, 22,388.65 and 9,151.23 is: 12,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.71 : 22,388.65 = 9,151.23 : x
  2. Step 2: Convert to fraction form
    16,220.71/22,388.65 = 9,151.23/x
  3. Step 3: Cross multiply
    16,220.71x = 22,388.65 × 9,151.23
  4. Step 4: Simplify right side
    16,220.71x = 204,883,685.54
  5. Step 5: Solve for x
    x = 204,883,685.54/16,220.71
  6. Step 6: Final answer
    x = 12,631.00

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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.