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Finding the Fourth Proportional to 28,233.20, 42,369.18 and 9,765.20

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Solution

The fourth proportional to 28,233.20, 42,369.18 and 9,765.20 is: 14,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,233.20 : 42,369.18 = 9,765.20 : x
  2. Step 2: Convert to fraction form
    28,233.20/42,369.18 = 9,765.20/x
  3. Step 3: Cross multiply
    28,233.20x = 42,369.18 × 9,765.20
  4. Step 4: Simplify right side
    28,233.20x = 413,743,516.54
  5. Step 5: Solve for x
    x = 413,743,516.54/28,233.20
  6. Step 6: Final answer
    x = 14,654.50

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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.