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Finding the Fourth Proportional to 19,807.36, 29,710.32 and 5,956

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Solution

The fourth proportional to 19,807.36, 29,710.32 and 5,956 is: 8,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.36 : 29,710.32 = 5,956 : x
  2. Step 2: Convert to fraction form
    19,807.36/29,710.32 = 5,956/x
  3. Step 3: Cross multiply
    19,807.36x = 29,710.32 × 5,956
  4. Step 4: Simplify right side
    19,807.36x = 176,954,665.92
  5. Step 5: Solve for x
    x = 176,954,665.92/19,807.36
  6. Step 6: Final answer
    x = 8,933.78

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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.