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Finding the Fourth Proportional to 19,706.25, 29,543.41 and 13,450.52

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Solution

The fourth proportional to 19,706.25, 29,543.41 and 13,450.52 is: 20,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.25 : 29,543.41 = 13,450.52 : x
  2. Step 2: Convert to fraction form
    19,706.25/29,543.41 = 13,450.52/x
  3. Step 3: Cross multiply
    19,706.25x = 29,543.41 × 13,450.52
  4. Step 4: Simplify right side
    19,706.25x = 397,374,227.07
  5. Step 5: Solve for x
    x = 397,374,227.07/19,706.25
  6. Step 6: Final answer
    x = 20,164.88

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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.