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Finding the Fourth Proportional to 16,523.56, 24,780.22 and 5,577

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Solution

The fourth proportional to 16,523.56, 24,780.22 and 5,577 is: 8,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.56 : 24,780.22 = 5,577 : x
  2. Step 2: Convert to fraction form
    16,523.56/24,780.22 = 5,577/x
  3. Step 3: Cross multiply
    16,523.56x = 24,780.22 × 5,577
  4. Step 4: Simplify right side
    16,523.56x = 138,199,286.94
  5. Step 5: Solve for x
    x = 138,199,286.94/16,523.56
  6. Step 6: Final answer
    x = 8,363.77

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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.