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Finding the Fourth Proportional to 16,499.16, 24,745.44 and 5,406.24

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Solution

The fourth proportional to 16,499.16, 24,745.44 and 5,406.24 is: 8,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.16 : 24,745.44 = 5,406.24 : x
  2. Step 2: Convert to fraction form
    16,499.16/24,745.44 = 5,406.24/x
  3. Step 3: Cross multiply
    16,499.16x = 24,745.44 × 5,406.24
  4. Step 4: Simplify right side
    16,499.16x = 133,779,787.55
  5. Step 5: Solve for x
    x = 133,779,787.55/16,499.16
  6. Step 6: Final answer
    x = 8,108.28

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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.