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Finding the Fourth Proportional to 21,351.80, 32,012.31 and 13,029.86

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Solution

The fourth proportional to 21,351.80, 32,012.31 and 13,029.86 is: 19,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351.80 : 32,012.31 = 13,029.86 : x
  2. Step 2: Convert to fraction form
    21,351.80/32,012.31 = 13,029.86/x
  3. Step 3: Cross multiply
    21,351.80x = 32,012.31 × 13,029.86
  4. Step 4: Simplify right side
    21,351.80x = 417,115,788.68
  5. Step 5: Solve for x
    x = 417,115,788.68/21,351.80
  6. Step 6: Final answer
    x = 19,535.39

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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.