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Finding the Fourth Proportional to 15,127.92, 20,877.06 and 8,413.83

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Solution

The fourth proportional to 15,127.92, 20,877.06 and 8,413.83 is: 11,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,127.92 : 20,877.06 = 8,413.83 : x
  2. Step 2: Convert to fraction form
    15,127.92/20,877.06 = 8,413.83/x
  3. Step 3: Cross multiply
    15,127.92x = 20,877.06 × 8,413.83
  4. Step 4: Simplify right side
    15,127.92x = 175,656,033.74
  5. Step 5: Solve for x
    x = 175,656,033.74/15,127.92
  6. Step 6: Final answer
    x = 11,611.38

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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.