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Finding the Fourth Proportional to 13,485, 18,606.45 and 8,181.52

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Solution

The fourth proportional to 13,485, 18,606.45 and 8,181.52 is: 11,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485 : 18,606.45 = 8,181.52 : x
  2. Step 2: Convert to fraction form
    13,485/18,606.45 = 8,181.52/x
  3. Step 3: Cross multiply
    13,485x = 18,606.45 × 8,181.52
  4. Step 4: Simplify right side
    13,485x = 152,229,042.80
  5. Step 5: Solve for x
    x = 152,229,042.80/13,485
  6. Step 6: Final answer
    x = 11,288.77

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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.