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Finding the Fourth Proportional to 15,355, 21,191.34 and 8,731

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Solution

The fourth proportional to 15,355, 21,191.34 and 8,731 is: 12,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,355 : 21,191.34 = 8,731 : x
  2. Step 2: Convert to fraction form
    15,355/21,191.34 = 8,731/x
  3. Step 3: Cross multiply
    15,355x = 21,191.34 × 8,731
  4. Step 4: Simplify right side
    15,355x = 185,021,589.54
  5. Step 5: Solve for x
    x = 185,021,589.54/15,355
  6. Step 6: Final answer
    x = 12,049.60

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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.