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Finding the Fourth Proportional to 23,773.96, 35,701.44 and 19,821.16

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Solution

The fourth proportional to 23,773.96, 35,701.44 and 19,821.16 is: 29,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.96 : 35,701.44 = 19,821.16 : x
  2. Step 2: Convert to fraction form
    23,773.96/35,701.44 = 19,821.16/x
  3. Step 3: Cross multiply
    23,773.96x = 35,701.44 × 19,821.16
  4. Step 4: Simplify right side
    23,773.96x = 707,643,954.47
  5. Step 5: Solve for x
    x = 707,643,954.47/23,773.96
  6. Step 6: Final answer
    x = 29,765.51

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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.