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Finding the Fourth Proportional to 12,954.89, 17,874.72 and 7,650.50

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Solution

The fourth proportional to 12,954.89, 17,874.72 and 7,650.50 is: 10,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.89 : 17,874.72 = 7,650.50 : x
  2. Step 2: Convert to fraction form
    12,954.89/17,874.72 = 7,650.50/x
  3. Step 3: Cross multiply
    12,954.89x = 17,874.72 × 7,650.50
  4. Step 4: Simplify right side
    12,954.89x = 136,750,455.99
  5. Step 5: Solve for x
    x = 136,750,455.99/12,954.89
  6. Step 6: Final answer
    x = 10,555.90

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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.