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Finding the Fourth Proportional to 16,571.17, 22,869.20 and 9,498.05

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Solution

The fourth proportional to 16,571.17, 22,869.20 and 9,498.05 is: 13,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.17 : 22,869.20 = 9,498.05 : x
  2. Step 2: Convert to fraction form
    16,571.17/22,869.20 = 9,498.05/x
  3. Step 3: Cross multiply
    16,571.17x = 22,869.20 × 9,498.05
  4. Step 4: Simplify right side
    16,571.17x = 217,212,805.06
  5. Step 5: Solve for x
    x = 217,212,805.06/16,571.17
  6. Step 6: Final answer
    x = 13,107.87

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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.