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Finding the Fourth Proportional to 23,412.18, 35,110.97 and 7,826.16

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Solution

The fourth proportional to 23,412.18, 35,110.97 and 7,826.16 is: 11,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.18 : 35,110.97 = 7,826.16 : x
  2. Step 2: Convert to fraction form
    23,412.18/35,110.97 = 7,826.16/x
  3. Step 3: Cross multiply
    23,412.18x = 35,110.97 × 7,826.16
  4. Step 4: Simplify right side
    23,412.18x = 274,784,029.84
  5. Step 5: Solve for x
    x = 274,784,029.84/23,412.18
  6. Step 6: Final answer
    x = 11,736.80

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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.