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Finding the Fourth Proportional to 24,696.34, 37,052.82 and 7,832.10

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Solution

The fourth proportional to 24,696.34, 37,052.82 and 7,832.10 is: 11,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.34 : 37,052.82 = 7,832.10 : x
  2. Step 2: Convert to fraction form
    24,696.34/37,052.82 = 7,832.10/x
  3. Step 3: Cross multiply
    24,696.34x = 37,052.82 × 7,832.10
  4. Step 4: Simplify right side
    24,696.34x = 290,201,391.52
  5. Step 5: Solve for x
    x = 290,201,391.52/24,696.34
  6. Step 6: Final answer
    x = 11,750.79

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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.