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Finding the Fourth Proportional to 23,093.84, 34,643.94 and 8,300

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Solution

The fourth proportional to 23,093.84, 34,643.94 and 8,300 is: 12,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093.84 : 34,643.94 = 8,300 : x
  2. Step 2: Convert to fraction form
    23,093.84/34,643.94 = 8,300/x
  3. Step 3: Cross multiply
    23,093.84x = 34,643.94 × 8,300
  4. Step 4: Simplify right side
    23,093.84x = 287,544,702
  5. Step 5: Solve for x
    x = 287,544,702/23,093.84
  6. Step 6: Final answer
    x = 12,451.14

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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.