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Finding the Fourth Proportional to 20,045.24, 30,071.64 and 6,191

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Solution

The fourth proportional to 20,045.24, 30,071.64 and 6,191 is: 9,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.24 : 30,071.64 = 6,191 : x
  2. Step 2: Convert to fraction form
    20,045.24/30,071.64 = 6,191/x
  3. Step 3: Cross multiply
    20,045.24x = 30,071.64 × 6,191
  4. Step 4: Simplify right side
    20,045.24x = 186,173,523.24
  5. Step 5: Solve for x
    x = 186,173,523.24/20,045.24
  6. Step 6: Final answer
    x = 9,287.67

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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.