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Finding the Fourth Proportional to 16,220.32, 24,315.84 and 5,829.64

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Solution

The fourth proportional to 16,220.32, 24,315.84 and 5,829.64 is: 8,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.32 : 24,315.84 = 5,829.64 : x
  2. Step 2: Convert to fraction form
    16,220.32/24,315.84 = 5,829.64/x
  3. Step 3: Cross multiply
    16,220.32x = 24,315.84 × 5,829.64
  4. Step 4: Simplify right side
    16,220.32x = 141,752,593.50
  5. Step 5: Solve for x
    x = 141,752,593.50/16,220.32
  6. Step 6: Final answer
    x = 8,739.20

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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.