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Finding the Fourth Proportional to 16,297.65, 22,491.29 and 9,223.92

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Solution

The fourth proportional to 16,297.65, 22,491.29 and 9,223.92 is: 12,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.65 : 22,491.29 = 9,223.92 : x
  2. Step 2: Convert to fraction form
    16,297.65/22,491.29 = 9,223.92/x
  3. Step 3: Cross multiply
    16,297.65x = 22,491.29 × 9,223.92
  4. Step 4: Simplify right side
    16,297.65x = 207,457,859.66
  5. Step 5: Solve for x
    x = 207,457,859.66/16,297.65
  6. Step 6: Final answer
    x = 12,729.31

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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.