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Finding the Fourth Proportional to 16,406.12, 24,603.10 and 6,542.44

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Solution

The fourth proportional to 16,406.12, 24,603.10 and 6,542.44 is: 9,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.12 : 24,603.10 = 6,542.44 : x
  2. Step 2: Convert to fraction form
    16,406.12/24,603.10 = 6,542.44/x
  3. Step 3: Cross multiply
    16,406.12x = 24,603.10 × 6,542.44
  4. Step 4: Simplify right side
    16,406.12x = 160,964,305.56
  5. Step 5: Solve for x
    x = 160,964,305.56/16,406.12
  6. Step 6: Final answer
    x = 9,811.24

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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.