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Finding the Fourth Proportional to 23,105.44, 34,638.96 and 13,252

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Solution

The fourth proportional to 23,105.44, 34,638.96 and 13,252 is: 19,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.44 : 34,638.96 = 13,252 : x
  2. Step 2: Convert to fraction form
    23,105.44/34,638.96 = 13,252/x
  3. Step 3: Cross multiply
    23,105.44x = 34,638.96 × 13,252
  4. Step 4: Simplify right side
    23,105.44x = 459,035,497.92
  5. Step 5: Solve for x
    x = 459,035,497.92/23,105.44
  6. Step 6: Final answer
    x = 19,866.99

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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.