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Finding the Fourth Proportional to 24,408.84, 36,611.40 and 7,769.40

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Solution

The fourth proportional to 24,408.84, 36,611.40 and 7,769.40 is: 11,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.84 : 36,611.40 = 7,769.40 : x
  2. Step 2: Convert to fraction form
    24,408.84/36,611.40 = 7,769.40/x
  3. Step 3: Cross multiply
    24,408.84x = 36,611.40 × 7,769.40
  4. Step 4: Simplify right side
    24,408.84x = 284,448,611.16
  5. Step 5: Solve for x
    x = 284,448,611.16/24,408.84
  6. Step 6: Final answer
    x = 11,653.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.