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Finding the Fourth Proportional to 13,314.91, 18,366.42 and 8,533.24

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Solution

The fourth proportional to 13,314.91, 18,366.42 and 8,533.24 is: 11,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.91 : 18,366.42 = 8,533.24 : x
  2. Step 2: Convert to fraction form
    13,314.91/18,366.42 = 8,533.24/x
  3. Step 3: Cross multiply
    13,314.91x = 18,366.42 × 8,533.24
  4. Step 4: Simplify right side
    13,314.91x = 156,725,069.80
  5. Step 5: Solve for x
    x = 156,725,069.80/13,314.91
  6. Step 6: Final answer
    x = 11,770.64

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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.