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Finding the Fourth Proportional to 19,805.25, 29,712.53 and 5,765.58

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Solution

The fourth proportional to 19,805.25, 29,712.53 and 5,765.58 is: 8,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.25 : 29,712.53 = 5,765.58 : x
  2. Step 2: Convert to fraction form
    19,805.25/29,712.53 = 5,765.58/x
  3. Step 3: Cross multiply
    19,805.25x = 29,712.53 × 5,765.58
  4. Step 4: Simplify right side
    19,805.25x = 171,309,968.72
  5. Step 5: Solve for x
    x = 171,309,968.72/19,805.25
  6. Step 6: Final answer
    x = 8,649.73

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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.