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Finding the Fourth Proportional to 21,473.17, 32,212.82 and 6,683.58

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Solution

The fourth proportional to 21,473.17, 32,212.82 and 6,683.58 is: 10,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.17 : 32,212.82 = 6,683.58 : x
  2. Step 2: Convert to fraction form
    21,473.17/32,212.82 = 6,683.58/x
  3. Step 3: Cross multiply
    21,473.17x = 32,212.82 × 6,683.58
  4. Step 4: Simplify right side
    21,473.17x = 215,296,976.20
  5. Step 5: Solve for x
    x = 215,296,976.20/21,473.17
  6. Step 6: Final answer
    x = 10,026.33

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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.