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Finding the Fourth Proportional to 13,504.46, 20,263.97 and 6,578.96

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Solution

The fourth proportional to 13,504.46, 20,263.97 and 6,578.96 is: 9,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.46 : 20,263.97 = 6,578.96 : x
  2. Step 2: Convert to fraction form
    13,504.46/20,263.97 = 6,578.96/x
  3. Step 3: Cross multiply
    13,504.46x = 20,263.97 × 6,578.96
  4. Step 4: Simplify right side
    13,504.46x = 133,315,848.07
  5. Step 5: Solve for x
    x = 133,315,848.07/13,504.46
  6. Step 6: Final answer
    x = 9,871.99

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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.