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Finding the Fourth Proportional to 19,878.39, 29,814.12 and 5,838.21

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Solution

The fourth proportional to 19,878.39, 29,814.12 and 5,838.21 is: 8,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.39 : 29,814.12 = 5,838.21 : x
  2. Step 2: Convert to fraction form
    19,878.39/29,814.12 = 5,838.21/x
  3. Step 3: Cross multiply
    19,878.39x = 29,814.12 × 5,838.21
  4. Step 4: Simplify right side
    19,878.39x = 174,061,093.53
  5. Step 5: Solve for x
    x = 174,061,093.53/19,878.39
  6. Step 6: Final answer
    x = 8,756.30

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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.