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Finding the Fourth Proportional to 13,142.88, 18,134.28 and 8,894.61

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Solution

The fourth proportional to 13,142.88, 18,134.28 and 8,894.61 is: 12,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.88 : 18,134.28 = 8,894.61 : x
  2. Step 2: Convert to fraction form
    13,142.88/18,134.28 = 8,894.61/x
  3. Step 3: Cross multiply
    13,142.88x = 18,134.28 × 8,894.61
  4. Step 4: Simplify right side
    13,142.88x = 161,297,348.23
  5. Step 5: Solve for x
    x = 161,297,348.23/13,142.88
  6. Step 6: Final answer
    x = 12,272.60

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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.