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Finding the Fourth Proportional to 12,705.05, 19,064.07 and 6,049.08

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Solution

The fourth proportional to 12,705.05, 19,064.07 and 6,049.08 is: 9,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.05 : 19,064.07 = 6,049.08 : x
  2. Step 2: Convert to fraction form
    12,705.05/19,064.07 = 6,049.08/x
  3. Step 3: Cross multiply
    12,705.05x = 19,064.07 × 6,049.08
  4. Step 4: Simplify right side
    12,705.05x = 115,319,958.99
  5. Step 5: Solve for x
    x = 115,319,958.99/12,705.05
  6. Step 6: Final answer
    x = 9,076.71

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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.