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Finding the Fourth Proportional to 19,778.40, 29,657.34 and 7,297.92

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Solution

The fourth proportional to 19,778.40, 29,657.34 and 7,297.92 is: 10,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.40 : 29,657.34 = 7,297.92 : x
  2. Step 2: Convert to fraction form
    19,778.40/29,657.34 = 7,297.92/x
  3. Step 3: Cross multiply
    19,778.40x = 29,657.34 × 7,297.92
  4. Step 4: Simplify right side
    19,778.40x = 216,436,894.73
  5. Step 5: Solve for x
    x = 216,436,894.73/19,778.40
  6. Step 6: Final answer
    x = 10,943.09

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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.