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Finding the Fourth Proportional to 19,705.46, 29,558.19 and 13,144.46

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Solution

The fourth proportional to 19,705.46, 29,558.19 and 13,144.46 is: 19,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.46 : 29,558.19 = 13,144.46 : x
  2. Step 2: Convert to fraction form
    19,705.46/29,558.19 = 13,144.46/x
  3. Step 3: Cross multiply
    19,705.46x = 29,558.19 × 13,144.46
  4. Step 4: Simplify right side
    19,705.46x = 388,526,446.13
  5. Step 5: Solve for x
    x = 388,526,446.13/19,705.46
  6. Step 6: Final answer
    x = 19,716.69

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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.