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Finding the Fourth Proportional to 19,782.55, 29,676.74 and 5,740.75

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Solution

The fourth proportional to 19,782.55, 29,676.74 and 5,740.75 is: 8,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.55 : 29,676.74 = 5,740.75 : x
  2. Step 2: Convert to fraction form
    19,782.55/29,676.74 = 5,740.75/x
  3. Step 3: Cross multiply
    19,782.55x = 29,676.74 × 5,740.75
  4. Step 4: Simplify right side
    19,782.55x = 170,366,642.26
  5. Step 5: Solve for x
    x = 170,366,642.26/19,782.55
  6. Step 6: Final answer
    x = 8,611.97

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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.