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Finding the Fourth Proportional to 17,047, 25,586.01 and 8,732.74

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Solution

The fourth proportional to 17,047, 25,586.01 and 8,732.74 is: 13,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047 : 25,586.01 = 8,732.74 : x
  2. Step 2: Convert to fraction form
    17,047/25,586.01 = 8,732.74/x
  3. Step 3: Cross multiply
    17,047x = 25,586.01 × 8,732.74
  4. Step 4: Simplify right side
    17,047x = 223,435,972.97
  5. Step 5: Solve for x
    x = 223,435,972.97/17,047
  6. Step 6: Final answer
    x = 13,107.06

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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.