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Finding the Fourth Proportional to 19,696.98, 29,536.75 and 5,653.74

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Solution

The fourth proportional to 19,696.98, 29,536.75 and 5,653.74 is: 8,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.98 : 29,536.75 = 5,653.74 : x
  2. Step 2: Convert to fraction form
    19,696.98/29,536.75 = 5,653.74/x
  3. Step 3: Cross multiply
    19,696.98x = 29,536.75 × 5,653.74
  4. Step 4: Simplify right side
    19,696.98x = 166,993,076.68
  5. Step 5: Solve for x
    x = 166,993,076.68/19,696.98
  6. Step 6: Final answer
    x = 8,478.11

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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.