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Finding the Fourth Proportional to 21,504.30, 32,256.45 and 20,046.30

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Solution

The fourth proportional to 21,504.30, 32,256.45 and 20,046.30 is: 30,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.30 : 32,256.45 = 20,046.30 : x
  2. Step 2: Convert to fraction form
    21,504.30/32,256.45 = 20,046.30/x
  3. Step 3: Cross multiply
    21,504.30x = 32,256.45 × 20,046.30
  4. Step 4: Simplify right side
    21,504.30x = 646,622,473.64
  5. Step 5: Solve for x
    x = 646,622,473.64/21,504.30
  6. Step 6: Final answer
    x = 30,069.45

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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.