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Finding the Fourth Proportional to 16,477.05, 22,738.20 and 8,923.28

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Solution

The fourth proportional to 16,477.05, 22,738.20 and 8,923.28 is: 12,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.05 : 22,738.20 = 8,923.28 : x
  2. Step 2: Convert to fraction form
    16,477.05/22,738.20 = 8,923.28/x
  3. Step 3: Cross multiply
    16,477.05x = 22,738.20 × 8,923.28
  4. Step 4: Simplify right side
    16,477.05x = 202,899,356.24
  5. Step 5: Solve for x
    x = 202,899,356.24/16,477.05
  6. Step 6: Final answer
    x = 12,314.06

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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.