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Finding the Fourth Proportional to 12,705.36, 19,064.54 and 6,049.39

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Solution

The fourth proportional to 12,705.36, 19,064.54 and 6,049.39 is: 9,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.36 : 19,064.54 = 6,049.39 : x
  2. Step 2: Convert to fraction form
    12,705.36/19,064.54 = 6,049.39/x
  3. Step 3: Cross multiply
    12,705.36x = 19,064.54 × 6,049.39
  4. Step 4: Simplify right side
    12,705.36x = 115,328,837.63
  5. Step 5: Solve for x
    x = 115,328,837.63/12,705.36
  6. Step 6: Final answer
    x = 9,077.18

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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.