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Finding the Fourth Proportional to 28,259.50, 42,396.81 and 9,791.50

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Solution

The fourth proportional to 28,259.50, 42,396.81 and 9,791.50 is: 14,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,259.50 : 42,396.81 = 9,791.50 : x
  2. Step 2: Convert to fraction form
    28,259.50/42,396.81 = 9,791.50/x
  3. Step 3: Cross multiply
    28,259.50x = 42,396.81 × 9,791.50
  4. Step 4: Simplify right side
    28,259.50x = 415,128,365.12
  5. Step 5: Solve for x
    x = 415,128,365.12/28,259.50
  6. Step 6: Final answer
    x = 14,689.87

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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.