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Finding the Fourth Proportional to 16,103.91, 24,153.05 and 4,257.80

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Solution

The fourth proportional to 16,103.91, 24,153.05 and 4,257.80 is: 6,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.91 : 24,153.05 = 4,257.80 : x
  2. Step 2: Convert to fraction form
    16,103.91/24,153.05 = 4,257.80/x
  3. Step 3: Cross multiply
    16,103.91x = 24,153.05 × 4,257.80
  4. Step 4: Simplify right side
    16,103.91x = 102,838,714.24
  5. Step 5: Solve for x
    x = 102,838,714.24/16,103.91
  6. Step 6: Final answer
    x = 6,385.95

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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.