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Finding the Fourth Proportional to 13,682.70, 18,885.16 and 8,894.32

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Solution

The fourth proportional to 13,682.70, 18,885.16 and 8,894.32 is: 12,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.70 : 18,885.16 = 8,894.32 : x
  2. Step 2: Convert to fraction form
    13,682.70/18,885.16 = 8,894.32/x
  3. Step 3: Cross multiply
    13,682.70x = 18,885.16 × 8,894.32
  4. Step 4: Simplify right side
    13,682.70x = 167,970,602.98
  5. Step 5: Solve for x
    x = 167,970,602.98/13,682.70
  6. Step 6: Final answer
    x = 12,276.13

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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.