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Finding the Fourth Proportional to 11,659.60, 17,532.60 and 9,758.80

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Solution

The fourth proportional to 11,659.60, 17,532.60 and 9,758.80 is: 14,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.60 : 17,532.60 = 9,758.80 : x
  2. Step 2: Convert to fraction form
    11,659.60/17,532.60 = 9,758.80/x
  3. Step 3: Cross multiply
    11,659.60x = 17,532.60 × 9,758.80
  4. Step 4: Simplify right side
    11,659.60x = 171,097,136.88
  5. Step 5: Solve for x
    x = 171,097,136.88/11,659.60
  6. Step 6: Final answer
    x = 14,674.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.