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Finding the Fourth Proportional to 24,537.71, 36,811.22 and 7,896.53

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Solution

The fourth proportional to 24,537.71, 36,811.22 and 7,896.53 is: 11,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.71 : 36,811.22 = 7,896.53 : x
  2. Step 2: Convert to fraction form
    24,537.71/36,811.22 = 7,896.53/x
  3. Step 3: Cross multiply
    24,537.71x = 36,811.22 × 7,896.53
  4. Step 4: Simplify right side
    24,537.71x = 290,680,903.07
  5. Step 5: Solve for x
    x = 290,680,903.07/24,537.71
  6. Step 6: Final answer
    x = 11,846.29

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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.