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Finding the Fourth Proportional to 16,468.66, 24,704.24 and 6,468.58

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Solution

The fourth proportional to 16,468.66, 24,704.24 and 6,468.58 is: 9,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.66 : 24,704.24 = 6,468.58 : x
  2. Step 2: Convert to fraction form
    16,468.66/24,704.24 = 6,468.58/x
  3. Step 3: Cross multiply
    16,468.66x = 24,704.24 × 6,468.58
  4. Step 4: Simplify right side
    16,468.66x = 159,801,352.78
  5. Step 5: Solve for x
    x = 159,801,352.78/16,468.66
  6. Step 6: Final answer
    x = 9,703.36

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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.