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Finding the Fourth Proportional to 22,983.75, 31,720.31 and 12,912.21

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Solution

The fourth proportional to 22,983.75, 31,720.31 and 12,912.21 is: 17,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.75 : 31,720.31 = 12,912.21 : x
  2. Step 2: Convert to fraction form
    22,983.75/31,720.31 = 12,912.21/x
  3. Step 3: Cross multiply
    22,983.75x = 31,720.31 × 12,912.21
  4. Step 4: Simplify right side
    22,983.75x = 409,579,239.42
  5. Step 5: Solve for x
    x = 409,579,239.42/22,983.75
  6. Step 6: Final answer
    x = 17,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.