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Finding the Fourth Proportional to 13,530.57, 18,680.26 and 8,499.10

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Solution

The fourth proportional to 13,530.57, 18,680.26 and 8,499.10 is: 11,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.57 : 18,680.26 = 8,499.10 : x
  2. Step 2: Convert to fraction form
    13,530.57/18,680.26 = 8,499.10/x
  3. Step 3: Cross multiply
    13,530.57x = 18,680.26 × 8,499.10
  4. Step 4: Simplify right side
    13,530.57x = 158,765,304.36
  5. Step 5: Solve for x
    x = 158,765,304.36/13,530.57
  6. Step 6: Final answer
    x = 11,733.82

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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.