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Finding the Fourth Proportional to 23,616.66, 35,430.19 and 7,826.59

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Solution

The fourth proportional to 23,616.66, 35,430.19 and 7,826.59 is: 11,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.66 : 35,430.19 = 7,826.59 : x
  2. Step 2: Convert to fraction form
    23,616.66/35,430.19 = 7,826.59/x
  3. Step 3: Cross multiply
    23,616.66x = 35,430.19 × 7,826.59
  4. Step 4: Simplify right side
    23,616.66x = 277,297,570.75
  5. Step 5: Solve for x
    x = 277,297,570.75/23,616.66
  6. Step 6: Final answer
    x = 11,741.61

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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.