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Finding the Fourth Proportional to 17,872.70, 26,783.40 and 10,065.02

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Solution

The fourth proportional to 17,872.70, 26,783.40 and 10,065.02 is: 15,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.70 : 26,783.40 = 10,065.02 : x
  2. Step 2: Convert to fraction form
    17,872.70/26,783.40 = 10,065.02/x
  3. Step 3: Cross multiply
    17,872.70x = 26,783.40 × 10,065.02
  4. Step 4: Simplify right side
    17,872.70x = 269,575,456.67
  5. Step 5: Solve for x
    x = 269,575,456.67/17,872.70
  6. Step 6: Final answer
    x = 15,083.09

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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.