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Finding the Fourth Proportional to 16,305.72, 24,412.20 and 10,742.28

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Solution

The fourth proportional to 16,305.72, 24,412.20 and 10,742.28 is: 16,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.72 : 24,412.20 = 10,742.28 : x
  2. Step 2: Convert to fraction form
    16,305.72/24,412.20 = 10,742.28/x
  3. Step 3: Cross multiply
    16,305.72x = 24,412.20 × 10,742.28
  4. Step 4: Simplify right side
    16,305.72x = 262,242,687.82
  5. Step 5: Solve for x
    x = 262,242,687.82/16,305.72
  6. Step 6: Final answer
    x = 16,082.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.