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Finding the Fourth Proportional to 15,119.15, 20,864.32 and 8,405.39

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Solution

The fourth proportional to 15,119.15, 20,864.32 and 8,405.39 is: 11,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,119.15 : 20,864.32 = 8,405.39 : x
  2. Step 2: Convert to fraction form
    15,119.15/20,864.32 = 8,405.39/x
  3. Step 3: Cross multiply
    15,119.15x = 20,864.32 × 8,405.39
  4. Step 4: Simplify right side
    15,119.15x = 175,372,704.66
  5. Step 5: Solve for x
    x = 175,372,704.66/15,119.15
  6. Step 6: Final answer
    x = 11,599.38

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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.