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Finding the Fourth Proportional to 19,981.62, 29,989.71 and 7,678.26

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Solution

The fourth proportional to 19,981.62, 29,989.71 and 7,678.26 is: 11,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.62 : 29,989.71 = 7,678.26 : x
  2. Step 2: Convert to fraction form
    19,981.62/29,989.71 = 7,678.26/x
  3. Step 3: Cross multiply
    19,981.62x = 29,989.71 × 7,678.26
  4. Step 4: Simplify right side
    19,981.62x = 230,268,790.70
  5. Step 5: Solve for x
    x = 230,268,790.70/19,981.62
  6. Step 6: Final answer
    x = 11,524.03

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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.