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Finding the Fourth Proportional to 24,811.88, 34,238.58 and 16,413.80

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Solution

The fourth proportional to 24,811.88, 34,238.58 and 16,413.80 is: 22,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.88 : 34,238.58 = 16,413.80 : x
  2. Step 2: Convert to fraction form
    24,811.88/34,238.58 = 16,413.80/x
  3. Step 3: Cross multiply
    24,811.88x = 34,238.58 × 16,413.80
  4. Step 4: Simplify right side
    24,811.88x = 561,985,204.40
  5. Step 5: Solve for x
    x = 561,985,204.40/24,811.88
  6. Step 6: Final answer
    x = 22,649.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.