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Finding the Fourth Proportional to 19,964, 29,940.90 and 5,920.76

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Solution

The fourth proportional to 19,964, 29,940.90 and 5,920.76 is: 8,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964 : 29,940.90 = 5,920.76 : x
  2. Step 2: Convert to fraction form
    19,964/29,940.90 = 5,920.76/x
  3. Step 3: Cross multiply
    19,964x = 29,940.90 × 5,920.76
  4. Step 4: Simplify right side
    19,964x = 177,272,883.08
  5. Step 5: Solve for x
    x = 177,272,883.08/19,964
  6. Step 6: Final answer
    x = 8,879.63

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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.