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Finding the Fourth Proportional to 15,177.61, 22,760.94 and 6,413.21

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Solution

The fourth proportional to 15,177.61, 22,760.94 and 6,413.21 is: 9,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.61 : 22,760.94 = 6,413.21 : x
  2. Step 2: Convert to fraction form
    15,177.61/22,760.94 = 6,413.21/x
  3. Step 3: Cross multiply
    15,177.61x = 22,760.94 × 6,413.21
  4. Step 4: Simplify right side
    15,177.61x = 145,970,574.21
  5. Step 5: Solve for x
    x = 145,970,574.21/15,177.61
  6. Step 6: Final answer
    x = 9,617.50

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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.