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Finding the Fourth Proportional to 24,291.82, 36,413.37 and 8,484.58

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Solution

The fourth proportional to 24,291.82, 36,413.37 and 8,484.58 is: 12,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.82 : 36,413.37 = 8,484.58 : x
  2. Step 2: Convert to fraction form
    24,291.82/36,413.37 = 8,484.58/x
  3. Step 3: Cross multiply
    24,291.82x = 36,413.37 × 8,484.58
  4. Step 4: Simplify right side
    24,291.82x = 308,952,150.83
  5. Step 5: Solve for x
    x = 308,952,150.83/24,291.82
  6. Step 6: Final answer
    x = 12,718.36

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1.5x scale

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.