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Finding the Fourth Proportional to 22,975.89, 34,472.04 and 11,297.31

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Solution

The fourth proportional to 22,975.89, 34,472.04 and 11,297.31 is: 16,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.89 : 34,472.04 = 11,297.31 : x
  2. Step 2: Convert to fraction form
    22,975.89/34,472.04 = 11,297.31/x
  3. Step 3: Cross multiply
    22,975.89x = 34,472.04 × 11,297.31
  4. Step 4: Simplify right side
    22,975.89x = 389,441,322.21
  5. Step 5: Solve for x
    x = 389,441,322.21/22,975.89
  6. Step 6: Final answer
    x = 16,950.00

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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.