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Finding the Fourth Proportional to 19,919.27, 29,897.42 and 10,065.49

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Solution

The fourth proportional to 19,919.27, 29,897.42 and 10,065.49 is: 15,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.27 : 29,897.42 = 10,065.49 : x
  2. Step 2: Convert to fraction form
    19,919.27/29,897.42 = 10,065.49/x
  3. Step 3: Cross multiply
    19,919.27x = 29,897.42 × 10,065.49
  4. Step 4: Simplify right side
    19,919.27x = 300,932,056.96
  5. Step 5: Solve for x
    x = 300,932,056.96/19,919.27
  6. Step 6: Final answer
    x = 15,107.58

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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.