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Finding the Fourth Proportional to 23,781.94, 32,819.00 and 13,710.34

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Solution

The fourth proportional to 23,781.94, 32,819.00 and 13,710.34 is: 18,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.94 : 32,819.00 = 13,710.34 : x
  2. Step 2: Convert to fraction form
    23,781.94/32,819.00 = 13,710.34/x
  3. Step 3: Cross multiply
    23,781.94x = 32,819.00 × 13,710.34
  4. Step 4: Simplify right side
    23,781.94x = 449,959,467.23
  5. Step 5: Solve for x
    x = 449,959,467.23/23,781.94
  6. Step 6: Final answer
    x = 18,920.22

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