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Finding the Fourth Proportional to 16,027.02, 24,049.14 and 8,235.84

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Solution

The fourth proportional to 16,027.02, 24,049.14 and 8,235.84 is: 12,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.02 : 24,049.14 = 8,235.84 : x
  2. Step 2: Convert to fraction form
    16,027.02/24,049.14 = 8,235.84/x
  3. Step 3: Cross multiply
    16,027.02x = 24,049.14 × 8,235.84
  4. Step 4: Simplify right side
    16,027.02x = 198,064,869.18
  5. Step 5: Solve for x
    x = 198,064,869.18/16,027.02
  6. Step 6: Final answer
    x = 12,358.18

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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.