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Finding the Fourth Proportional to 28,189.82, 42,289.53 and 9,717.50

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Solution

The fourth proportional to 28,189.82, 42,289.53 and 9,717.50 is: 14,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.82 : 42,289.53 = 9,717.50 : x
  2. Step 2: Convert to fraction form
    28,189.82/42,289.53 = 9,717.50/x
  3. Step 3: Cross multiply
    28,189.82x = 42,289.53 × 9,717.50
  4. Step 4: Simplify right side
    28,189.82x = 410,948,507.78
  5. Step 5: Solve for x
    x = 410,948,507.78/28,189.82
  6. Step 6: Final answer
    x = 14,577.90

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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.