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Finding the Fourth Proportional to 21,049.49, 31,563.68 and 7,004.57

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Solution

The fourth proportional to 21,049.49, 31,563.68 and 7,004.57 is: 10,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.49 : 31,563.68 = 7,004.57 : x
  2. Step 2: Convert to fraction form
    21,049.49/31,563.68 = 7,004.57/x
  3. Step 3: Cross multiply
    21,049.49x = 31,563.68 × 7,004.57
  4. Step 4: Simplify right side
    21,049.49x = 221,089,813.18
  5. Step 5: Solve for x
    x = 221,089,813.18/21,049.49
  6. Step 6: Final answer
    x = 10,503.33

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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.