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Finding the Fourth Proportional to 19,865.34, 29,798 and 5,074.26

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Solution

The fourth proportional to 19,865.34, 29,798 and 5,074.26 is: 7,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.34 : 29,798 = 5,074.26 : x
  2. Step 2: Convert to fraction form
    19,865.34/29,798 = 5,074.26/x
  3. Step 3: Cross multiply
    19,865.34x = 29,798 × 5,074.26
  4. Step 4: Simplify right side
    19,865.34x = 151,202,799.48
  5. Step 5: Solve for x
    x = 151,202,799.48/19,865.34
  6. Step 6: Final answer
    x = 7,611.39

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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.