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Finding the Fourth Proportional to 20,844.86, 28,765.90 and 11,413.42

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Solution

The fourth proportional to 20,844.86, 28,765.90 and 11,413.42 is: 15,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.86 : 28,765.90 = 11,413.42 : x
  2. Step 2: Convert to fraction form
    20,844.86/28,765.90 = 11,413.42/x
  3. Step 3: Cross multiply
    20,844.86x = 28,765.90 × 11,413.42
  4. Step 4: Simplify right side
    20,844.86x = 328,317,298.38
  5. Step 5: Solve for x
    x = 328,317,298.38/20,844.86
  6. Step 6: Final answer
    x = 15,750.52

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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.