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Finding the Fourth Proportional to 20,705.32, 31,068.96 and 15,806.44

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Solution

The fourth proportional to 20,705.32, 31,068.96 and 15,806.44 is: 23,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.32 : 31,068.96 = 15,806.44 : x
  2. Step 2: Convert to fraction form
    20,705.32/31,068.96 = 15,806.44/x
  3. Step 3: Cross multiply
    20,705.32x = 31,068.96 × 15,806.44
  4. Step 4: Simplify right side
    20,705.32x = 491,089,652.10
  5. Step 5: Solve for x
    x = 491,089,652.10/20,705.32
  6. Step 6: Final answer
    x = 23,718.04

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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.