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Finding the Fourth Proportional to 13,530.43, 18,659.89 and 8,495.11

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Solution

The fourth proportional to 13,530.43, 18,659.89 and 8,495.11 is: 11,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.43 : 18,659.89 = 8,495.11 : x
  2. Step 2: Convert to fraction form
    13,530.43/18,659.89 = 8,495.11/x
  3. Step 3: Cross multiply
    13,530.43x = 18,659.89 × 8,495.11
  4. Step 4: Simplify right side
    13,530.43x = 158,517,775.66
  5. Step 5: Solve for x
    x = 158,517,775.66/13,530.43
  6. Step 6: Final answer
    x = 11,715.65

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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.