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Finding the Fourth Proportional to 23,661.03, 35,483.86 and 7,861.82

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Solution

The fourth proportional to 23,661.03, 35,483.86 and 7,861.82 is: 11,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.03 : 35,483.86 = 7,861.82 : x
  2. Step 2: Convert to fraction form
    23,661.03/35,483.86 = 7,861.82/x
  3. Step 3: Cross multiply
    23,661.03x = 35,483.86 × 7,861.82
  4. Step 4: Simplify right side
    23,661.03x = 278,967,566.53
  5. Step 5: Solve for x
    x = 278,967,566.53/23,661.03
  6. Step 6: Final answer
    x = 11,790.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.