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Finding the Fourth Proportional to 20,788.56, 31,193.27 and 9,696.12

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Solution

The fourth proportional to 20,788.56, 31,193.27 and 9,696.12 is: 14,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788.56 : 31,193.27 = 9,696.12 : x
  2. Step 2: Convert to fraction form
    20,788.56/31,193.27 = 9,696.12/x
  3. Step 3: Cross multiply
    20,788.56x = 31,193.27 × 9,696.12
  4. Step 4: Simplify right side
    20,788.56x = 302,453,640.63
  5. Step 5: Solve for x
    x = 302,453,640.63/20,788.56
  6. Step 6: Final answer
    x = 14,549.04

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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.