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Finding the Fourth Proportional to 21,714.39, 32,571.63 and 5,298.39

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Solution

The fourth proportional to 21,714.39, 32,571.63 and 5,298.39 is: 7,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.39 : 32,571.63 = 5,298.39 : x
  2. Step 2: Convert to fraction form
    21,714.39/32,571.63 = 5,298.39/x
  3. Step 3: Cross multiply
    21,714.39x = 32,571.63 × 5,298.39
  4. Step 4: Simplify right side
    21,714.39x = 172,577,198.68
  5. Step 5: Solve for x
    x = 172,577,198.68/21,714.39
  6. Step 6: Final answer
    x = 7,947.60

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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.