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Finding the Fourth Proportional to 24,413.90, 36,604.45 and 9,615.20

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Solution

The fourth proportional to 24,413.90, 36,604.45 and 9,615.20 is: 14,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.90 : 36,604.45 = 9,615.20 : x
  2. Step 2: Convert to fraction form
    24,413.90/36,604.45 = 9,615.20/x
  3. Step 3: Cross multiply
    24,413.90x = 36,604.45 × 9,615.20
  4. Step 4: Simplify right side
    24,413.90x = 351,959,059.56
  5. Step 5: Solve for x
    x = 351,959,059.56/24,413.90
  6. Step 6: Final answer
    x = 14,416.34

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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.