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Finding the Fourth Proportional to 12,864.92, 19,393.79 and 12,007.63

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Solution

The fourth proportional to 12,864.92, 19,393.79 and 12,007.63 is: 18,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.92 : 19,393.79 = 12,007.63 : x
  2. Step 2: Convert to fraction form
    12,864.92/19,393.79 = 12,007.63/x
  3. Step 3: Cross multiply
    12,864.92x = 19,393.79 × 12,007.63
  4. Step 4: Simplify right side
    12,864.92x = 232,873,454.62
  5. Step 5: Solve for x
    x = 232,873,454.62/12,864.92
  6. Step 6: Final answer
    x = 18,101.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.