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Finding the Fourth Proportional to 16,334.21, 24,499.01 and 5,239.46

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Solution

The fourth proportional to 16,334.21, 24,499.01 and 5,239.46 is: 7,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.21 : 24,499.01 = 5,239.46 : x
  2. Step 2: Convert to fraction form
    16,334.21/24,499.01 = 5,239.46/x
  3. Step 3: Cross multiply
    16,334.21x = 24,499.01 × 5,239.46
  4. Step 4: Simplify right side
    16,334.21x = 128,361,434.24
  5. Step 5: Solve for x
    x = 128,361,434.24/16,334.21
  6. Step 6: Final answer
    x = 7,858.44

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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.