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Finding the Fourth Proportional to 16,509.30, 22,771.17 and 10,223.70

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Solution

The fourth proportional to 16,509.30, 22,771.17 and 10,223.70 is: 14,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.30 : 22,771.17 = 10,223.70 : x
  2. Step 2: Convert to fraction form
    16,509.30/22,771.17 = 10,223.70/x
  3. Step 3: Cross multiply
    16,509.30x = 22,771.17 × 10,223.70
  4. Step 4: Simplify right side
    16,509.30x = 232,805,610.73
  5. Step 5: Solve for x
    x = 232,805,610.73/16,509.30
  6. Step 6: Final answer
    x = 14,101.48

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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.