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Finding the Fourth Proportional to 13,509.05, 18,642.81 and 8,473.49

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Solution

The fourth proportional to 13,509.05, 18,642.81 and 8,473.49 is: 11,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.05 : 18,642.81 = 8,473.49 : x
  2. Step 2: Convert to fraction form
    13,509.05/18,642.81 = 8,473.49/x
  3. Step 3: Cross multiply
    13,509.05x = 18,642.81 × 8,473.49
  4. Step 4: Simplify right side
    13,509.05x = 157,969,572.48
  5. Step 5: Solve for x
    x = 157,969,572.48/13,509.05
  6. Step 6: Final answer
    x = 11,693.61

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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.