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Finding the Fourth Proportional to 16,157.42, 24,236.12 and 5,064.96

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Solution

The fourth proportional to 16,157.42, 24,236.12 and 5,064.96 is: 7,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.42 : 24,236.12 = 5,064.96 : x
  2. Step 2: Convert to fraction form
    16,157.42/24,236.12 = 5,064.96/x
  3. Step 3: Cross multiply
    16,157.42x = 24,236.12 × 5,064.96
  4. Step 4: Simplify right side
    16,157.42x = 122,754,991.02
  5. Step 5: Solve for x
    x = 122,754,991.02/16,157.42
  6. Step 6: Final answer
    x = 7,597.44

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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.