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Finding the Fourth Proportional to 23,340.66, 35,016.75 and 7,758.42

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Solution

The fourth proportional to 23,340.66, 35,016.75 and 7,758.42 is: 11,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,340.66 : 35,016.75 = 7,758.42 : x
  2. Step 2: Convert to fraction form
    23,340.66/35,016.75 = 7,758.42/x
  3. Step 3: Cross multiply
    23,340.66x = 35,016.75 × 7,758.42
  4. Step 4: Simplify right side
    23,340.66x = 271,674,653.54
  5. Step 5: Solve for x
    x = 271,674,653.54/23,340.66
  6. Step 6: Final answer
    x = 11,639.54

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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.