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Finding the Fourth Proportional to 19,819.23, 29,733.80 and 13,987.23

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Solution

The fourth proportional to 19,819.23, 29,733.80 and 13,987.23 is: 20,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.23 : 29,733.80 = 13,987.23 : x
  2. Step 2: Convert to fraction form
    19,819.23/29,733.80 = 13,987.23/x
  3. Step 3: Cross multiply
    19,819.23x = 29,733.80 × 13,987.23
  4. Step 4: Simplify right side
    19,819.23x = 415,893,429.44
  5. Step 5: Solve for x
    x = 415,893,429.44/19,819.23
  6. Step 6: Final answer
    x = 20,984.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.