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Finding the Fourth Proportional to 16,096.35, 22,214.49 and 9,381.45

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Solution

The fourth proportional to 16,096.35, 22,214.49 and 9,381.45 is: 12,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.35 : 22,214.49 = 9,381.45 : x
  2. Step 2: Convert to fraction form
    16,096.35/22,214.49 = 9,381.45/x
  3. Step 3: Cross multiply
    16,096.35x = 22,214.49 × 9,381.45
  4. Step 4: Simplify right side
    16,096.35x = 208,404,127.21
  5. Step 5: Solve for x
    x = 208,404,127.21/16,096.35
  6. Step 6: Final answer
    x = 12,947.29

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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.