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Finding the Fourth Proportional to 16,261.89, 24,392.44 and 7,496.80

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Solution

The fourth proportional to 16,261.89, 24,392.44 and 7,496.80 is: 11,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.89 : 24,392.44 = 7,496.80 : x
  2. Step 2: Convert to fraction form
    16,261.89/24,392.44 = 7,496.80/x
  3. Step 3: Cross multiply
    16,261.89x = 24,392.44 × 7,496.80
  4. Step 4: Simplify right side
    16,261.89x = 182,865,244.19
  5. Step 5: Solve for x
    x = 182,865,244.19/16,261.89
  6. Step 6: Final answer
    x = 11,245.02

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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.