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Finding the Fourth Proportional to 13,467.64, 18,580.10 and 8,429.80

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Solution

The fourth proportional to 13,467.64, 18,580.10 and 8,429.80 is: 11,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.64 : 18,580.10 = 8,429.80 : x
  2. Step 2: Convert to fraction form
    13,467.64/18,580.10 = 8,429.80/x
  3. Step 3: Cross multiply
    13,467.64x = 18,580.10 × 8,429.80
  4. Step 4: Simplify right side
    13,467.64x = 156,626,526.98
  5. Step 5: Solve for x
    x = 156,626,526.98/13,467.64
  6. Step 6: Final answer
    x = 11,629.84

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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.