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Finding the Fourth Proportional to 16,545.30, 24,822.06 and 8,229.30

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Solution

The fourth proportional to 16,545.30, 24,822.06 and 8,229.30 is: 12,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.30 : 24,822.06 = 8,229.30 : x
  2. Step 2: Convert to fraction form
    16,545.30/24,822.06 = 8,229.30/x
  3. Step 3: Cross multiply
    16,545.30x = 24,822.06 × 8,229.30
  4. Step 4: Simplify right side
    16,545.30x = 204,268,178.36
  5. Step 5: Solve for x
    x = 204,268,178.36/16,545.30
  6. Step 6: Final answer
    x = 12,345.99

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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.