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Finding the Fourth Proportional to 13,270.14, 19,891.92 and 8,530.02

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Solution

The fourth proportional to 13,270.14, 19,891.92 and 8,530.02 is: 12,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.14 : 19,891.92 = 8,530.02 : x
  2. Step 2: Convert to fraction form
    13,270.14/19,891.92 = 8,530.02/x
  3. Step 3: Cross multiply
    13,270.14x = 19,891.92 × 8,530.02
  4. Step 4: Simplify right side
    13,270.14x = 169,678,475.44
  5. Step 5: Solve for x
    x = 169,678,475.44/13,270.14
  6. Step 6: Final answer
    x = 12,786.49

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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.