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Finding the Fourth Proportional to 19,589.70, 29,381.48 and 6,441.96

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Solution

The fourth proportional to 19,589.70, 29,381.48 and 6,441.96 is: 9,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.70 : 29,381.48 = 6,441.96 : x
  2. Step 2: Convert to fraction form
    19,589.70/29,381.48 = 6,441.96/x
  3. Step 3: Cross multiply
    19,589.70x = 29,381.48 × 6,441.96
  4. Step 4: Simplify right side
    19,589.70x = 189,274,318.90
  5. Step 5: Solve for x
    x = 189,274,318.90/19,589.70
  6. Step 6: Final answer
    x = 9,661.93

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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.