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Finding the Fourth Proportional to 13,630.30, 18,792.44 and 9,146.94

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Solution

The fourth proportional to 13,630.30, 18,792.44 and 9,146.94 is: 12,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.30 : 18,792.44 = 9,146.94 : x
  2. Step 2: Convert to fraction form
    13,630.30/18,792.44 = 9,146.94/x
  3. Step 3: Cross multiply
    13,630.30x = 18,792.44 × 9,146.94
  4. Step 4: Simplify right side
    13,630.30x = 171,893,321.13
  5. Step 5: Solve for x
    x = 171,893,321.13/13,630.30
  6. Step 6: Final answer
    x = 12,611.12

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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.