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Finding the Fourth Proportional to 13,709.52, 20,561.94 and 4,943.16

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Solution

The fourth proportional to 13,709.52, 20,561.94 and 4,943.16 is: 7,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.52 : 20,561.94 = 4,943.16 : x
  2. Step 2: Convert to fraction form
    13,709.52/20,561.94 = 4,943.16/x
  3. Step 3: Cross multiply
    13,709.52x = 20,561.94 × 4,943.16
  4. Step 4: Simplify right side
    13,709.52x = 101,640,959.33
  5. Step 5: Solve for x
    x = 101,640,959.33/13,709.52
  6. Step 6: Final answer
    x = 7,413.90

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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.