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Finding the Fourth Proportional to 16,086.85, 22,199.31 and 8,916.46

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Solution

The fourth proportional to 16,086.85, 22,199.31 and 8,916.46 is: 12,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.85 : 22,199.31 = 8,916.46 : x
  2. Step 2: Convert to fraction form
    16,086.85/22,199.31 = 8,916.46/x
  3. Step 3: Cross multiply
    16,086.85x = 22,199.31 × 8,916.46
  4. Step 4: Simplify right side
    16,086.85x = 197,939,259.64
  5. Step 5: Solve for x
    x = 197,939,259.64/16,086.85
  6. Step 6: Final answer
    x = 12,304.41

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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.