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Finding the Fourth Proportional to 16,363, 24,523.84 and 8,866.24

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Solution

The fourth proportional to 16,363, 24,523.84 and 8,866.24 is: 13,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363 : 24,523.84 = 8,866.24 : x
  2. Step 2: Convert to fraction form
    16,363/24,523.84 = 8,866.24/x
  3. Step 3: Cross multiply
    16,363x = 24,523.84 × 8,866.24
  4. Step 4: Simplify right side
    16,363x = 217,434,251.16
  5. Step 5: Solve for x
    x = 217,434,251.16/16,363
  6. Step 6: Final answer
    x = 13,288.17

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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.