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Finding the Fourth Proportional to 19,706.76, 29,559.42 and 5,855.40

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Solution

The fourth proportional to 19,706.76, 29,559.42 and 5,855.40 is: 8,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.76 : 29,559.42 = 5,855.40 : x
  2. Step 2: Convert to fraction form
    19,706.76/29,559.42 = 5,855.40/x
  3. Step 3: Cross multiply
    19,706.76x = 29,559.42 × 5,855.40
  4. Step 4: Simplify right side
    19,706.76x = 173,082,227.87
  5. Step 5: Solve for x
    x = 173,082,227.87/19,706.76
  6. Step 6: Final answer
    x = 8,782.89

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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.