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Finding the Fourth Proportional to 24,554.25, 36,832.29 and 7,914.52

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Solution

The fourth proportional to 24,554.25, 36,832.29 and 7,914.52 is: 11,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,554.25 : 36,832.29 = 7,914.52 : x
  2. Step 2: Convert to fraction form
    24,554.25/36,832.29 = 7,914.52/x
  3. Step 3: Cross multiply
    24,554.25x = 36,832.29 × 7,914.52
  4. Step 4: Simplify right side
    24,554.25x = 291,509,912.21
  5. Step 5: Solve for x
    x = 291,509,912.21/24,554.25
  6. Step 6: Final answer
    x = 11,872.08

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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.