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Finding the Fourth Proportional to 23,433.84, 32,338.69 and 12,823.47

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Solution

The fourth proportional to 23,433.84, 32,338.69 and 12,823.47 is: 17,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.84 : 32,338.69 = 12,823.47 : x
  2. Step 2: Convert to fraction form
    23,433.84/32,338.69 = 12,823.47/x
  3. Step 3: Cross multiply
    23,433.84x = 32,338.69 × 12,823.47
  4. Step 4: Simplify right side
    23,433.84x = 414,694,221.05
  5. Step 5: Solve for x
    x = 414,694,221.05/23,433.84
  6. Step 6: Final answer
    x = 17,696.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.