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Finding the Fourth Proportional to 16,644.32, 22,969.68 and 9,571.40

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Solution

The fourth proportional to 16,644.32, 22,969.68 and 9,571.40 is: 13,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.32 : 22,969.68 = 9,571.40 : x
  2. Step 2: Convert to fraction form
    16,644.32/22,969.68 = 9,571.40/x
  3. Step 3: Cross multiply
    16,644.32x = 22,969.68 × 9,571.40
  4. Step 4: Simplify right side
    16,644.32x = 219,851,995.15
  5. Step 5: Solve for x
    x = 219,851,995.15/16,644.32
  6. Step 6: Final answer
    x = 13,208.83

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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.