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Finding the Fourth Proportional to 24,413.60, 36,634.80 and 16,117.60

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Solution

The fourth proportional to 24,413.60, 36,634.80 and 16,117.60 is: 24,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.60 : 36,634.80 = 16,117.60 : x
  2. Step 2: Convert to fraction form
    24,413.60/36,634.80 = 16,117.60/x
  3. Step 3: Cross multiply
    24,413.60x = 36,634.80 × 16,117.60
  4. Step 4: Simplify right side
    24,413.60x = 590,465,052.48
  5. Step 5: Solve for x
    x = 590,465,052.48/24,413.60
  6. Step 6: Final answer
    x = 24,185.91

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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.