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Finding the Fourth Proportional to 13,874.46, 19,146.42 and 7,586.70

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Solution

The fourth proportional to 13,874.46, 19,146.42 and 7,586.70 is: 10,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.46 : 19,146.42 = 7,586.70 : x
  2. Step 2: Convert to fraction form
    13,874.46/19,146.42 = 7,586.70/x
  3. Step 3: Cross multiply
    13,874.46x = 19,146.42 × 7,586.70
  4. Step 4: Simplify right side
    13,874.46x = 145,258,144.61
  5. Step 5: Solve for x
    x = 145,258,144.61/13,874.46
  6. Step 6: Final answer
    x = 10,469.46

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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.