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Finding the Fourth Proportional to 13,653.72, 18,842.19 and 8,348.46

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Solution

The fourth proportional to 13,653.72, 18,842.19 and 8,348.46 is: 11,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.72 : 18,842.19 = 8,348.46 : x
  2. Step 2: Convert to fraction form
    13,653.72/18,842.19 = 8,348.46/x
  3. Step 3: Cross multiply
    13,653.72x = 18,842.19 × 8,348.46
  4. Step 4: Simplify right side
    13,653.72x = 157,303,269.53
  5. Step 5: Solve for x
    x = 157,303,269.53/13,653.72
  6. Step 6: Final answer
    x = 11,520.91

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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.