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Finding the Fourth Proportional to 21,036, 31,554.24 and 5,452.68

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Solution

The fourth proportional to 21,036, 31,554.24 and 5,452.68 is: 8,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036 : 31,554.24 = 5,452.68 : x
  2. Step 2: Convert to fraction form
    21,036/31,554.24 = 5,452.68/x
  3. Step 3: Cross multiply
    21,036x = 31,554.24 × 5,452.68
  4. Step 4: Simplify right side
    21,036x = 172,055,173.36
  5. Step 5: Solve for x
    x = 172,055,173.36/21,036
  6. Step 6: Final answer
    x = 8,179.08

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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.