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Finding the Fourth Proportional to 16,228.32, 22,395.08 and 8,776.32

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Solution

The fourth proportional to 16,228.32, 22,395.08 and 8,776.32 is: 12,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.32 : 22,395.08 = 8,776.32 : x
  2. Step 2: Convert to fraction form
    16,228.32/22,395.08 = 8,776.32/x
  3. Step 3: Cross multiply
    16,228.32x = 22,395.08 × 8,776.32
  4. Step 4: Simplify right side
    16,228.32x = 196,546,344.62
  5. Step 5: Solve for x
    x = 196,546,344.62/16,228.32
  6. Step 6: Final answer
    x = 12,111.32

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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.