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Finding the Fourth Proportional to 23,405, 35,111.34 and 7,826.36

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Solution

The fourth proportional to 23,405, 35,111.34 and 7,826.36 is: 11,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405 : 35,111.34 = 7,826.36 : x
  2. Step 2: Convert to fraction form
    23,405/35,111.34 = 7,826.36/x
  3. Step 3: Cross multiply
    23,405x = 35,111.34 × 7,826.36
  4. Step 4: Simplify right side
    23,405x = 274,793,986.92
  5. Step 5: Solve for x
    x = 274,793,986.92/23,405
  6. Step 6: Final answer
    x = 11,740.82

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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.