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Finding the Fourth Proportional to 19,810.80, 29,705.26 and 8,132.22

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Solution

The fourth proportional to 19,810.80, 29,705.26 and 8,132.22 is: 12,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.80 : 29,705.26 = 8,132.22 : x
  2. Step 2: Convert to fraction form
    19,810.80/29,705.26 = 8,132.22/x
  3. Step 3: Cross multiply
    19,810.80x = 29,705.26 × 8,132.22
  4. Step 4: Simplify right side
    19,810.80x = 241,569,520.29
  5. Step 5: Solve for x
    x = 241,569,520.29/19,810.80
  6. Step 6: Final answer
    x = 12,193.83

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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.