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Finding the Fourth Proportional to 23,412.43, 35,111.34 and 7,826.41

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Solution

The fourth proportional to 23,412.43, 35,111.34 and 7,826.41 is: 11,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.43 : 35,111.34 = 7,826.41 : x
  2. Step 2: Convert to fraction form
    23,412.43/35,111.34 = 7,826.41/x
  3. Step 3: Cross multiply
    23,412.43x = 35,111.34 × 7,826.41
  4. Step 4: Simplify right side
    23,412.43x = 274,795,742.49
  5. Step 5: Solve for x
    x = 274,795,742.49/23,412.43
  6. Step 6: Final answer
    x = 11,737.17

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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.