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Finding the Fourth Proportional to 25,413.86, 38,108.74 and 9,398.20

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Solution

The fourth proportional to 25,413.86, 38,108.74 and 9,398.20 is: 14,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.86 : 38,108.74 = 9,398.20 : x
  2. Step 2: Convert to fraction form
    25,413.86/38,108.74 = 9,398.20/x
  3. Step 3: Cross multiply
    25,413.86x = 38,108.74 × 9,398.20
  4. Step 4: Simplify right side
    25,413.86x = 358,153,560.27
  5. Step 5: Solve for x
    x = 358,153,560.27/25,413.86
  6. Step 6: Final answer
    x = 14,092.84

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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.