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Finding the Fourth Proportional to 16,270.83, 24,406.24 and 8,494.83

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Solution

The fourth proportional to 16,270.83, 24,406.24 and 8,494.83 is: 12,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.83 : 24,406.24 = 8,494.83 : x
  2. Step 2: Convert to fraction form
    16,270.83/24,406.24 = 8,494.83/x
  3. Step 3: Cross multiply
    16,270.83x = 24,406.24 × 8,494.83
  4. Step 4: Simplify right side
    16,270.83x = 207,326,838.50
  5. Step 5: Solve for x
    x = 207,326,838.50/16,270.83
  6. Step 6: Final answer
    x = 12,742.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.