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Finding the Fourth Proportional to 24,941.86, 37,413.13 and 8,301.95

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Solution

The fourth proportional to 24,941.86, 37,413.13 and 8,301.95 is: 12,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.86 : 37,413.13 = 8,301.95 : x
  2. Step 2: Convert to fraction form
    24,941.86/37,413.13 = 8,301.95/x
  3. Step 3: Cross multiply
    24,941.86x = 37,413.13 × 8,301.95
  4. Step 4: Simplify right side
    24,941.86x = 310,601,934.60
  5. Step 5: Solve for x
    x = 310,601,934.60/24,941.86
  6. Step 6: Final answer
    x = 12,453.04

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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.