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Finding the Fourth Proportional to 13,570.82, 18,727.71 and 8,265.63

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Solution

The fourth proportional to 13,570.82, 18,727.71 and 8,265.63 is: 11,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.82 : 18,727.71 = 8,265.63 : x
  2. Step 2: Convert to fraction form
    13,570.82/18,727.71 = 8,265.63/x
  3. Step 3: Cross multiply
    13,570.82x = 18,727.71 × 8,265.63
  4. Step 4: Simplify right side
    13,570.82x = 154,796,321.61
  5. Step 5: Solve for x
    x = 154,796,321.61/13,570.82
  6. Step 6: Final answer
    x = 11,406.56

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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.