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Finding the Fourth Proportional to 13,633.25, 18,812.95 and 7,665.82

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Solution

The fourth proportional to 13,633.25, 18,812.95 and 7,665.82 is: 10,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.25 : 18,812.95 = 7,665.82 : x
  2. Step 2: Convert to fraction form
    13,633.25/18,812.95 = 7,665.82/x
  3. Step 3: Cross multiply
    13,633.25x = 18,812.95 × 7,665.82
  4. Step 4: Simplify right side
    13,633.25x = 144,216,688.37
  5. Step 5: Solve for x
    x = 144,216,688.37/13,633.25
  6. Step 6: Final answer
    x = 10,578.31

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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.