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Finding the Fourth Proportional to 29,652.32, 40,919.84 and 16,223.38

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Solution

The fourth proportional to 29,652.32, 40,919.84 and 16,223.38 is: 22,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652.32 : 40,919.84 = 16,223.38 : x
  2. Step 2: Convert to fraction form
    29,652.32/40,919.84 = 16,223.38/x
  3. Step 3: Cross multiply
    29,652.32x = 40,919.84 × 16,223.38
  4. Step 4: Simplify right side
    29,652.32x = 663,858,267.08
  5. Step 5: Solve for x
    x = 663,858,267.08/29,652.32
  6. Step 6: Final answer
    x = 22,388.07

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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.