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Finding the Fourth Proportional to 19,768.96, 29,651.28 and 9,906.40

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Solution

The fourth proportional to 19,768.96, 29,651.28 and 9,906.40 is: 14,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.96 : 29,651.28 = 9,906.40 : x
  2. Step 2: Convert to fraction form
    19,768.96/29,651.28 = 9,906.40/x
  3. Step 3: Cross multiply
    19,768.96x = 29,651.28 × 9,906.40
  4. Step 4: Simplify right side
    19,768.96x = 293,737,440.19
  5. Step 5: Solve for x
    x = 293,737,440.19/19,768.96
  6. Step 6: Final answer
    x = 14,858.52

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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.