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Finding the Fourth Proportional to 16,219.92, 22,368.56 and 10,241.20

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Solution

The fourth proportional to 16,219.92, 22,368.56 and 10,241.20 is: 14,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.92 : 22,368.56 = 10,241.20 : x
  2. Step 2: Convert to fraction form
    16,219.92/22,368.56 = 10,241.20/x
  3. Step 3: Cross multiply
    16,219.92x = 22,368.56 × 10,241.20
  4. Step 4: Simplify right side
    16,219.92x = 229,080,896.67
  5. Step 5: Solve for x
    x = 229,080,896.67/16,219.92
  6. Step 6: Final answer
    x = 14,123.43

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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.