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Finding the Fourth Proportional to 21,752.36, 32,634.66 and 8,429.38

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Solution

The fourth proportional to 21,752.36, 32,634.66 and 8,429.38 is: 12,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.36 : 32,634.66 = 8,429.38 : x
  2. Step 2: Convert to fraction form
    21,752.36/32,634.66 = 8,429.38/x
  3. Step 3: Cross multiply
    21,752.36x = 32,634.66 × 8,429.38
  4. Step 4: Simplify right side
    21,752.36x = 275,089,815.44
  5. Step 5: Solve for x
    x = 275,089,815.44/21,752.36
  6. Step 6: Final answer
    x = 12,646.44

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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.