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Finding the Fourth Proportional to 21,714.98, 32,578.08 and 12,716.69

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Solution

The fourth proportional to 21,714.98, 32,578.08 and 12,716.69 is: 19,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.98 : 32,578.08 = 12,716.69 : x
  2. Step 2: Convert to fraction form
    21,714.98/32,578.08 = 12,716.69/x
  3. Step 3: Cross multiply
    21,714.98x = 32,578.08 × 12,716.69
  4. Step 4: Simplify right side
    21,714.98x = 414,285,411.58
  5. Step 5: Solve for x
    x = 414,285,411.58/21,714.98
  6. Step 6: Final answer
    x = 19,078.33

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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.