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Finding the Fourth Proportional to 23,675.82, 35,519.51 and 7,880.82

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Solution

The fourth proportional to 23,675.82, 35,519.51 and 7,880.82 is: 11,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.82 : 35,519.51 = 7,880.82 : x
  2. Step 2: Convert to fraction form
    23,675.82/35,519.51 = 7,880.82/x
  3. Step 3: Cross multiply
    23,675.82x = 35,519.51 × 7,880.82
  4. Step 4: Simplify right side
    23,675.82x = 279,922,884.50
  5. Step 5: Solve for x
    x = 279,922,884.50/23,675.82
  6. Step 6: Final answer
    x = 11,823.15

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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.