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Finding the Fourth Proportional to 23,616.91, 35,430.56 and 7,826.84

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Solution

The fourth proportional to 23,616.91, 35,430.56 and 7,826.84 is: 11,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.91 : 35,430.56 = 7,826.84 : x
  2. Step 2: Convert to fraction form
    23,616.91/35,430.56 = 7,826.84/x
  3. Step 3: Cross multiply
    23,616.91x = 35,430.56 × 7,826.84
  4. Step 4: Simplify right side
    23,616.91x = 277,309,324.23
  5. Step 5: Solve for x
    x = 277,309,324.23/23,616.91
  6. Step 6: Final answer
    x = 11,741.98

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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.