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Finding the Fourth Proportional to 16,226.13, 24,328.73 and 6,366.41

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Solution

The fourth proportional to 16,226.13, 24,328.73 and 6,366.41 is: 9,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.13 : 24,328.73 = 6,366.41 : x
  2. Step 2: Convert to fraction form
    16,226.13/24,328.73 = 6,366.41/x
  3. Step 3: Cross multiply
    16,226.13x = 24,328.73 × 6,366.41
  4. Step 4: Simplify right side
    16,226.13x = 154,886,548.32
  5. Step 5: Solve for x
    x = 154,886,548.32/16,226.13
  6. Step 6: Final answer
    x = 9,545.50

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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.