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Finding the Fourth Proportional to 12,281.36, 16,954.65 and 8,307.83

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Solution

The fourth proportional to 12,281.36, 16,954.65 and 8,307.83 is: 11,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.36 : 16,954.65 = 8,307.83 : x
  2. Step 2: Convert to fraction form
    12,281.36/16,954.65 = 8,307.83/x
  3. Step 3: Cross multiply
    12,281.36x = 16,954.65 × 8,307.83
  4. Step 4: Simplify right side
    12,281.36x = 140,856,392.30
  5. Step 5: Solve for x
    x = 140,856,392.30/12,281.36
  6. Step 6: Final answer
    x = 11,469.12

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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.