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Finding the Fourth Proportional to 13,634.12, 18,815 and 7,665.50

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Solution

The fourth proportional to 13,634.12, 18,815 and 7,665.50 is: 10,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.12 : 18,815 = 7,665.50 : x
  2. Step 2: Convert to fraction form
    13,634.12/18,815 = 7,665.50/x
  3. Step 3: Cross multiply
    13,634.12x = 18,815 × 7,665.50
  4. Step 4: Simplify right side
    13,634.12x = 144,226,382.50
  5. Step 5: Solve for x
    x = 144,226,382.50/13,634.12
  6. Step 6: Final answer
    x = 10,578.34

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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.