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Finding the Fourth Proportional to 21,846.72, 32,750.40 and 7,992.48

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Solution

The fourth proportional to 21,846.72, 32,750.40 and 7,992.48 is: 11,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.72 : 32,750.40 = 7,992.48 : x
  2. Step 2: Convert to fraction form
    21,846.72/32,750.40 = 7,992.48/x
  3. Step 3: Cross multiply
    21,846.72x = 32,750.40 × 7,992.48
  4. Step 4: Simplify right side
    21,846.72x = 261,756,916.99
  5. Step 5: Solve for x
    x = 261,756,916.99/21,846.72
  6. Step 6: Final answer
    x = 11,981.52

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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.