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Finding the Fourth Proportional to 12,705.66, 19,064.99 and 6,049.69

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Solution

The fourth proportional to 12,705.66, 19,064.99 and 6,049.69 is: 9,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.66 : 19,064.99 = 6,049.69 : x
  2. Step 2: Convert to fraction form
    12,705.66/19,064.99 = 6,049.69/x
  3. Step 3: Cross multiply
    12,705.66x = 19,064.99 × 6,049.69
  4. Step 4: Simplify right side
    12,705.66x = 115,337,246.81
  5. Step 5: Solve for x
    x = 115,337,246.81/12,705.66
  6. Step 6: Final answer
    x = 9,077.63

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Why These Related Problems?

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