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Finding the Fourth Proportional to 16,213.67, 22,374.41 and 9,043.80

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Solution

The fourth proportional to 16,213.67, 22,374.41 and 9,043.80 is: 12,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.67 : 22,374.41 = 9,043.80 : x
  2. Step 2: Convert to fraction form
    16,213.67/22,374.41 = 9,043.80/x
  3. Step 3: Cross multiply
    16,213.67x = 22,374.41 × 9,043.80
  4. Step 4: Simplify right side
    16,213.67x = 202,349,689.16
  5. Step 5: Solve for x
    x = 202,349,689.16/16,213.67
  6. Step 6: Final answer
    x = 12,480.19

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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.