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Finding the Fourth Proportional to 13,530.51, 18,677.79 and 8,227.17

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Solution

The fourth proportional to 13,530.51, 18,677.79 and 8,227.17 is: 11,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.51 : 18,677.79 = 8,227.17 : x
  2. Step 2: Convert to fraction form
    13,530.51/18,677.79 = 8,227.17/x
  3. Step 3: Cross multiply
    13,530.51x = 18,677.79 × 8,227.17
  4. Step 4: Simplify right side
    13,530.51x = 153,665,353.55
  5. Step 5: Solve for x
    x = 153,665,353.55/13,530.51
  6. Step 6: Final answer
    x = 11,356.95

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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.