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Finding the Fourth Proportional to 13,874.22, 19,146.51 and 7,586.60

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Solution

The fourth proportional to 13,874.22, 19,146.51 and 7,586.60 is: 10,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.22 : 19,146.51 = 7,586.60 : x
  2. Step 2: Convert to fraction form
    13,874.22/19,146.51 = 7,586.60/x
  3. Step 3: Cross multiply
    13,874.22x = 19,146.51 × 7,586.60
  4. Step 4: Simplify right side
    13,874.22x = 145,256,817.03
  5. Step 5: Solve for x
    x = 145,256,817.03/13,874.22
  6. Step 6: Final answer
    x = 10,469.55

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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.