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Finding the Fourth Proportional to 13,382.25, 20,071.85 and 3,522.29

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Solution

The fourth proportional to 13,382.25, 20,071.85 and 3,522.29 is: 5,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.25 : 20,071.85 = 3,522.29 : x
  2. Step 2: Convert to fraction form
    13,382.25/20,071.85 = 3,522.29/x
  3. Step 3: Cross multiply
    13,382.25x = 20,071.85 × 3,522.29
  4. Step 4: Simplify right side
    13,382.25x = 70,698,758.57
  5. Step 5: Solve for x
    x = 70,698,758.57/13,382.25
  6. Step 6: Final answer
    x = 5,283.02

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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.