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Finding the Fourth Proportional to 20,589.68, 28,413.76 and 11,158.25

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Solution

The fourth proportional to 20,589.68, 28,413.76 and 11,158.25 is: 15,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.68 : 28,413.76 = 11,158.25 : x
  2. Step 2: Convert to fraction form
    20,589.68/28,413.76 = 11,158.25/x
  3. Step 3: Cross multiply
    20,589.68x = 28,413.76 × 11,158.25
  4. Step 4: Simplify right side
    20,589.68x = 317,047,667.56
  5. Step 5: Solve for x
    x = 317,047,667.56/20,589.68
  6. Step 6: Final answer
    x = 15,398.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.