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Finding the Fourth Proportional to 19,694.66, 29,535.60 and 6,543.50

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Solution

The fourth proportional to 19,694.66, 29,535.60 and 6,543.50 is: 9,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.66 : 29,535.60 = 6,543.50 : x
  2. Step 2: Convert to fraction form
    19,694.66/29,535.60 = 6,543.50/x
  3. Step 3: Cross multiply
    19,694.66x = 29,535.60 × 6,543.50
  4. Step 4: Simplify right side
    19,694.66x = 193,266,198.60
  5. Step 5: Solve for x
    x = 193,266,198.60/19,694.66
  6. Step 6: Final answer
    x = 9,813.13

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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.