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Finding the Fourth Proportional to 28,235.20, 42,372.18 and 9,767.20

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Solution

The fourth proportional to 28,235.20, 42,372.18 and 9,767.20 is: 14,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235.20 : 42,372.18 = 9,767.20 : x
  2. Step 2: Convert to fraction form
    28,235.20/42,372.18 = 9,767.20/x
  3. Step 3: Cross multiply
    28,235.20x = 42,372.18 × 9,767.20
  4. Step 4: Simplify right side
    28,235.20x = 413,857,556.50
  5. Step 5: Solve for x
    x = 413,857,556.50/28,235.20
  6. Step 6: Final answer
    x = 14,657.50

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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.