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Finding the Fourth Proportional to 13,187.59, 19,767.71 and 8,245.88

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Solution

The fourth proportional to 13,187.59, 19,767.71 and 8,245.88 is: 12,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.59 : 19,767.71 = 8,245.88 : x
  2. Step 2: Convert to fraction form
    13,187.59/19,767.71 = 8,245.88/x
  3. Step 3: Cross multiply
    13,187.59x = 19,767.71 × 8,245.88
  4. Step 4: Simplify right side
    13,187.59x = 163,002,094.50
  5. Step 5: Solve for x
    x = 163,002,094.50/13,187.59
  6. Step 6: Final answer
    x = 12,360.27

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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.