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Finding the Fourth Proportional to 13,584.52, 18,748.74 and 7,618.60

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Solution

The fourth proportional to 13,584.52, 18,748.74 and 7,618.60 is: 10,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.52 : 18,748.74 = 7,618.60 : x
  2. Step 2: Convert to fraction form
    13,584.52/18,748.74 = 7,618.60/x
  3. Step 3: Cross multiply
    13,584.52x = 18,748.74 × 7,618.60
  4. Step 4: Simplify right side
    13,584.52x = 142,839,150.56
  5. Step 5: Solve for x
    x = 142,839,150.56/13,584.52
  6. Step 6: Final answer
    x = 10,514.85

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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.