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Finding the Fourth Proportional to 13,308.35, 18,364.87 and 8,002.14

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Solution

The fourth proportional to 13,308.35, 18,364.87 and 8,002.14 is: 11,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.35 : 18,364.87 = 8,002.14 : x
  2. Step 2: Convert to fraction form
    13,308.35/18,364.87 = 8,002.14/x
  3. Step 3: Cross multiply
    13,308.35x = 18,364.87 × 8,002.14
  4. Step 4: Simplify right side
    13,308.35x = 146,958,240.82
  5. Step 5: Solve for x
    x = 146,958,240.82/13,308.35
  6. Step 6: Final answer
    x = 11,042.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.