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Finding the Fourth Proportional to 12,908.36, 19,360.71 and 4,142.14

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Solution

The fourth proportional to 12,908.36, 19,360.71 and 4,142.14 is: 6,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.36 : 19,360.71 = 4,142.14 : x
  2. Step 2: Convert to fraction form
    12,908.36/19,360.71 = 4,142.14/x
  3. Step 3: Cross multiply
    12,908.36x = 19,360.71 × 4,142.14
  4. Step 4: Simplify right side
    12,908.36x = 80,194,771.32
  5. Step 5: Solve for x
    x = 80,194,771.32/12,908.36
  6. Step 6: Final answer
    x = 6,212.62

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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.