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Finding the Fourth Proportional to 19,838.63, 29,759.87 and 5,798.34

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Solution

The fourth proportional to 19,838.63, 29,759.87 and 5,798.34 is: 8,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.63 : 29,759.87 = 5,798.34 : x
  2. Step 2: Convert to fraction form
    19,838.63/29,759.87 = 5,798.34/x
  3. Step 3: Cross multiply
    19,838.63x = 29,759.87 × 5,798.34
  4. Step 4: Simplify right side
    19,838.63x = 172,557,815.62
  5. Step 5: Solve for x
    x = 172,557,815.62/19,838.63
  6. Step 6: Final answer
    x = 8,698.07

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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.