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Finding the Fourth Proportional to 23,071.86, 34,596.86 and 11,967.44

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Solution

The fourth proportional to 23,071.86, 34,596.86 and 11,967.44 is: 17,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.86 : 34,596.86 = 11,967.44 : x
  2. Step 2: Convert to fraction form
    23,071.86/34,596.86 = 11,967.44/x
  3. Step 3: Cross multiply
    23,071.86x = 34,596.86 × 11,967.44
  4. Step 4: Simplify right side
    23,071.86x = 414,035,613.42
  5. Step 5: Solve for x
    x = 414,035,613.42/23,071.86
  6. Step 6: Final answer
    x = 17,945.48

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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.