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Finding the Fourth Proportional to 13,301.10, 18,364.14 and 8,270.82

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Solution

The fourth proportional to 13,301.10, 18,364.14 and 8,270.82 is: 11,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.10 : 18,364.14 = 8,270.82 : x
  2. Step 2: Convert to fraction form
    13,301.10/18,364.14 = 8,270.82/x
  3. Step 3: Cross multiply
    13,301.10x = 18,364.14 × 8,270.82
  4. Step 4: Simplify right side
    13,301.10x = 151,886,496.39
  5. Step 5: Solve for x
    x = 151,886,496.39/13,301.10
  6. Step 6: Final answer
    x = 11,419.09

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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.