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Finding the Fourth Proportional to 19,804.23, 29,706.35 and 7,963.41

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Solution

The fourth proportional to 19,804.23, 29,706.35 and 7,963.41 is: 11,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.23 : 29,706.35 = 7,963.41 : x
  2. Step 2: Convert to fraction form
    19,804.23/29,706.35 = 7,963.41/x
  3. Step 3: Cross multiply
    19,804.23x = 29,706.35 × 7,963.41
  4. Step 4: Simplify right side
    19,804.23x = 236,563,804.84
  5. Step 5: Solve for x
    x = 236,563,804.84/19,804.23
  6. Step 6: Final answer
    x = 11,945.12

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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.