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Finding the Fourth Proportional to 20,557.58, 30,817.91 and 17,070

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Solution

The fourth proportional to 20,557.58, 30,817.91 and 17,070 is: 25,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.58 : 30,817.91 = 17,070 : x
  2. Step 2: Convert to fraction form
    20,557.58/30,817.91 = 17,070/x
  3. Step 3: Cross multiply
    20,557.58x = 30,817.91 × 17,070
  4. Step 4: Simplify right side
    20,557.58x = 526,061,723.70
  5. Step 5: Solve for x
    x = 526,061,723.70/20,557.58
  6. Step 6: Final answer
    x = 25,589.67

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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.