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Finding the Fourth Proportional to 13,874.25, 19,146.47 and 7,586.63

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Solution

The fourth proportional to 13,874.25, 19,146.47 and 7,586.63 is: 10,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.25 : 19,146.47 = 7,586.63 : x
  2. Step 2: Convert to fraction form
    13,874.25/19,146.47 = 7,586.63/x
  3. Step 3: Cross multiply
    13,874.25x = 19,146.47 × 7,586.63
  4. Step 4: Simplify right side
    13,874.25x = 145,257,050.03
  5. Step 5: Solve for x
    x = 145,257,050.03/13,874.25
  6. Step 6: Final answer
    x = 10,469.54

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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.