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Finding the Fourth Proportional to 19,982.10, 29,973.15 and 6,834.90

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Solution

The fourth proportional to 19,982.10, 29,973.15 and 6,834.90 is: 10,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.10 : 29,973.15 = 6,834.90 : x
  2. Step 2: Convert to fraction form
    19,982.10/29,973.15 = 6,834.90/x
  3. Step 3: Cross multiply
    19,982.10x = 29,973.15 × 6,834.90
  4. Step 4: Simplify right side
    19,982.10x = 204,863,482.94
  5. Step 5: Solve for x
    x = 204,863,482.94/19,982.10
  6. Step 6: Final answer
    x = 10,252.35

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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.