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Finding the Fourth Proportional to 19,765.26, 29,659.55 and 7,293.98

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Solution

The fourth proportional to 19,765.26, 29,659.55 and 7,293.98 is: 10,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.26 : 29,659.55 = 7,293.98 : x
  2. Step 2: Convert to fraction form
    19,765.26/29,659.55 = 7,293.98/x
  3. Step 3: Cross multiply
    19,765.26x = 29,659.55 × 7,293.98
  4. Step 4: Simplify right side
    19,765.26x = 216,336,202.19
  5. Step 5: Solve for x
    x = 216,336,202.19/19,765.26
  6. Step 6: Final answer
    x = 10,945.27

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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.