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Finding the Fourth Proportional to 16,642.72, 22,965.06 and 9,571.42

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Solution

The fourth proportional to 16,642.72, 22,965.06 and 9,571.42 is: 13,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.72 : 22,965.06 = 9,571.42 : x
  2. Step 2: Convert to fraction form
    16,642.72/22,965.06 = 9,571.42/x
  3. Step 3: Cross multiply
    16,642.72x = 22,965.06 × 9,571.42
  4. Step 4: Simplify right side
    16,642.72x = 219,808,234.59
  5. Step 5: Solve for x
    x = 219,808,234.59/16,642.72
  6. Step 6: Final answer
    x = 13,207.47

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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.