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Finding the Fourth Proportional to 16,464.99, 22,721.49 and 8,911.16

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Solution

The fourth proportional to 16,464.99, 22,721.49 and 8,911.16 is: 12,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.99 : 22,721.49 = 8,911.16 : x
  2. Step 2: Convert to fraction form
    16,464.99/22,721.49 = 8,911.16/x
  3. Step 3: Cross multiply
    16,464.99x = 22,721.49 × 8,911.16
  4. Step 4: Simplify right side
    16,464.99x = 202,474,719.22
  5. Step 5: Solve for x
    x = 202,474,719.22/16,464.99
  6. Step 6: Final answer
    x = 12,297.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.