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Finding the Fourth Proportional to 23,347.82, 35,016.06 and 7,763.42

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Solution

The fourth proportional to 23,347.82, 35,016.06 and 7,763.42 is: 11,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.82 : 35,016.06 = 7,763.42 : x
  2. Step 2: Convert to fraction form
    23,347.82/35,016.06 = 7,763.42/x
  3. Step 3: Cross multiply
    23,347.82x = 35,016.06 × 7,763.42
  4. Step 4: Simplify right side
    23,347.82x = 271,844,380.53
  5. Step 5: Solve for x
    x = 271,844,380.53/23,347.82
  6. Step 6: Final answer
    x = 11,643.24

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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.