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Finding the Fourth Proportional to 28,235.82, 42,353.91 and 8,514.30

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Solution

The fourth proportional to 28,235.82, 42,353.91 and 8,514.30 is: 12,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235.82 : 42,353.91 = 8,514.30 : x
  2. Step 2: Convert to fraction form
    28,235.82/42,353.91 = 8,514.30/x
  3. Step 3: Cross multiply
    28,235.82x = 42,353.91 × 8,514.30
  4. Step 4: Simplify right side
    28,235.82x = 360,613,895.91
  5. Step 5: Solve for x
    x = 360,613,895.91/28,235.82
  6. Step 6: Final answer
    x = 12,771.50

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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.