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Finding the Fourth Proportional to 12,606.90, 18,910.35 and 10,857.30

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Solution

The fourth proportional to 12,606.90, 18,910.35 and 10,857.30 is: 16,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.90 : 18,910.35 = 10,857.30 : x
  2. Step 2: Convert to fraction form
    12,606.90/18,910.35 = 10,857.30/x
  3. Step 3: Cross multiply
    12,606.90x = 18,910.35 × 10,857.30
  4. Step 4: Simplify right side
    12,606.90x = 205,315,343.06
  5. Step 5: Solve for x
    x = 205,315,343.06/12,606.90
  6. Step 6: Final answer
    x = 16,285.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.