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Finding the Fourth Proportional to 24,093.68, 36,119.72 and 11,596.50

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Solution

The fourth proportional to 24,093.68, 36,119.72 and 11,596.50 is: 17,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,093.68 : 36,119.72 = 11,596.50 : x
  2. Step 2: Convert to fraction form
    24,093.68/36,119.72 = 11,596.50/x
  3. Step 3: Cross multiply
    24,093.68x = 36,119.72 × 11,596.50
  4. Step 4: Simplify right side
    24,093.68x = 418,862,361.97
  5. Step 5: Solve for x
    x = 418,862,361.97/24,093.68
  6. Step 6: Final answer
    x = 17,384.74

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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.