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Finding the Fourth Proportional to 13,259.71, 18,293.85 and 8,222.12

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Solution

The fourth proportional to 13,259.71, 18,293.85 and 8,222.12 is: 11,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.71 : 18,293.85 = 8,222.12 : x
  2. Step 2: Convert to fraction form
    13,259.71/18,293.85 = 8,222.12/x
  3. Step 3: Cross multiply
    13,259.71x = 18,293.85 × 8,222.12
  4. Step 4: Simplify right side
    13,259.71x = 150,414,097.38
  5. Step 5: Solve for x
    x = 150,414,097.38/13,259.71
  6. Step 6: Final answer
    x = 11,343.69

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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.