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Finding the Fourth Proportional to 19,735.89, 29,604.10 and 6,588.26

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Solution

The fourth proportional to 19,735.89, 29,604.10 and 6,588.26 is: 9,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.89 : 29,604.10 = 6,588.26 : x
  2. Step 2: Convert to fraction form
    19,735.89/29,604.10 = 6,588.26/x
  3. Step 3: Cross multiply
    19,735.89x = 29,604.10 × 6,588.26
  4. Step 4: Simplify right side
    19,735.89x = 195,039,565.41
  5. Step 5: Solve for x
    x = 195,039,565.41/19,735.89
  6. Step 6: Final answer
    x = 9,882.48

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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.