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Finding the Fourth Proportional to 15,213.38, 20,994.47 and 8,589.38

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Solution

The fourth proportional to 15,213.38, 20,994.47 and 8,589.38 is: 11,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213.38 : 20,994.47 = 8,589.38 : x
  2. Step 2: Convert to fraction form
    15,213.38/20,994.47 = 8,589.38/x
  3. Step 3: Cross multiply
    15,213.38x = 20,994.47 × 8,589.38
  4. Step 4: Simplify right side
    15,213.38x = 180,329,332.81
  5. Step 5: Solve for x
    x = 180,329,332.81/15,213.38
  6. Step 6: Final answer
    x = 11,853.34

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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.