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Finding the Fourth Proportional to 24,203.12, 36,306.92 and 9,413.15

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Solution

The fourth proportional to 24,203.12, 36,306.92 and 9,413.15 is: 14,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.12 : 36,306.92 = 9,413.15 : x
  2. Step 2: Convert to fraction form
    24,203.12/36,306.92 = 9,413.15/x
  3. Step 3: Cross multiply
    24,203.12x = 36,306.92 × 9,413.15
  4. Step 4: Simplify right side
    24,203.12x = 341,762,255.40
  5. Step 5: Solve for x
    x = 341,762,255.40/24,203.12
  6. Step 6: Final answer
    x = 14,120.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.