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Finding the Fourth Proportional to 13,532.39, 18,662.60 and 8,497.08

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Solution

The fourth proportional to 13,532.39, 18,662.60 and 8,497.08 is: 11,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.39 : 18,662.60 = 8,497.08 : x
  2. Step 2: Convert to fraction form
    13,532.39/18,662.60 = 8,497.08/x
  3. Step 3: Cross multiply
    13,532.39x = 18,662.60 × 8,497.08
  4. Step 4: Simplify right side
    13,532.39x = 158,577,605.21
  5. Step 5: Solve for x
    x = 158,577,605.21/13,532.39
  6. Step 6: Final answer
    x = 11,718.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.