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Finding the Fourth Proportional to 15,909.50, 23,864.31 and 5,379.58

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Solution

The fourth proportional to 15,909.50, 23,864.31 and 5,379.58 is: 8,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.50 : 23,864.31 = 5,379.58 : x
  2. Step 2: Convert to fraction form
    15,909.50/23,864.31 = 5,379.58/x
  3. Step 3: Cross multiply
    15,909.50x = 23,864.31 × 5,379.58
  4. Step 4: Simplify right side
    15,909.50x = 128,379,845.47
  5. Step 5: Solve for x
    x = 128,379,845.47/15,909.50
  6. Step 6: Final answer
    x = 8,069.39

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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.