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Finding the Fourth Proportional to 12,591.33, 18,886.65 and 5,190.30

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Solution

The fourth proportional to 12,591.33, 18,886.65 and 5,190.30 is: 7,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.33 : 18,886.65 = 5,190.30 : x
  2. Step 2: Convert to fraction form
    12,591.33/18,886.65 = 5,190.30/x
  3. Step 3: Cross multiply
    12,591.33x = 18,886.65 × 5,190.30
  4. Step 4: Simplify right side
    12,591.33x = 98,027,379.50
  5. Step 5: Solve for x
    x = 98,027,379.50/12,591.33
  6. Step 6: Final answer
    x = 7,785.31

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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.