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Finding the Fourth Proportional to 15,805, 21,808.74 and 8,731

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Solution

The fourth proportional to 15,805, 21,808.74 and 8,731 is: 12,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805 : 21,808.74 = 8,731 : x
  2. Step 2: Convert to fraction form
    15,805/21,808.74 = 8,731/x
  3. Step 3: Cross multiply
    15,805x = 21,808.74 × 8,731
  4. Step 4: Simplify right side
    15,805x = 190,412,108.94
  5. Step 5: Solve for x
    x = 190,412,108.94/15,805
  6. Step 6: Final answer
    x = 12,047.59

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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.