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Finding the Fourth Proportional to 16,565, 24,842.20 and 5,469.20

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Solution

The fourth proportional to 16,565, 24,842.20 and 5,469.20 is: 8,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565 : 24,842.20 = 5,469.20 : x
  2. Step 2: Convert to fraction form
    16,565/24,842.20 = 5,469.20/x
  3. Step 3: Cross multiply
    16,565x = 24,842.20 × 5,469.20
  4. Step 4: Simplify right side
    16,565x = 135,866,960.24
  5. Step 5: Solve for x
    x = 135,866,960.24/16,565
  6. Step 6: Final answer
    x = 8,202.05

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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.