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Finding the Fourth Proportional to 11,145.84, 16,739.59 and 9,812.12

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Solution

The fourth proportional to 11,145.84, 16,739.59 and 9,812.12 is: 14,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.84 : 16,739.59 = 9,812.12 : x
  2. Step 2: Convert to fraction form
    11,145.84/16,739.59 = 9,812.12/x
  3. Step 3: Cross multiply
    11,145.84x = 16,739.59 × 9,812.12
  4. Step 4: Simplify right side
    11,145.84x = 164,250,757.60
  5. Step 5: Solve for x
    x = 164,250,757.60/11,145.84
  6. Step 6: Final answer
    x = 14,736.51

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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.