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Finding the Fourth Proportional to 22,735.91, 31,366.86 and 14,234.51

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Solution

The fourth proportional to 22,735.91, 31,366.86 and 14,234.51 is: 19,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.91 : 31,366.86 = 14,234.51 : x
  2. Step 2: Convert to fraction form
    22,735.91/31,366.86 = 14,234.51/x
  3. Step 3: Cross multiply
    22,735.91x = 31,366.86 × 14,234.51
  4. Step 4: Simplify right side
    22,735.91x = 446,491,882.34
  5. Step 5: Solve for x
    x = 446,491,882.34/22,735.91
  6. Step 6: Final answer
    x = 19,638.18

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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.