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Finding the Fourth Proportional to 19,834.38, 29,751.59 and 5,983.38

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Solution

The fourth proportional to 19,834.38, 29,751.59 and 5,983.38 is: 8,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.38 : 29,751.59 = 5,983.38 : x
  2. Step 2: Convert to fraction form
    19,834.38/29,751.59 = 5,983.38/x
  3. Step 3: Cross multiply
    19,834.38x = 29,751.59 × 5,983.38
  4. Step 4: Simplify right side
    19,834.38x = 178,015,068.57
  5. Step 5: Solve for x
    x = 178,015,068.57/19,834.38
  6. Step 6: Final answer
    x = 8,975.08

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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.