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Finding the Fourth Proportional to 28,234.76, 38,962.55 and 16,297.38

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Solution

The fourth proportional to 28,234.76, 38,962.55 and 16,297.38 is: 22,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.76 : 38,962.55 = 16,297.38 : x
  2. Step 2: Convert to fraction form
    28,234.76/38,962.55 = 16,297.38/x
  3. Step 3: Cross multiply
    28,234.76x = 38,962.55 × 16,297.38
  4. Step 4: Simplify right side
    28,234.76x = 634,987,523.86
  5. Step 5: Solve for x
    x = 634,987,523.86/28,234.76
  6. Step 6: Final answer
    x = 22,489.57

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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.