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Finding the Fourth Proportional to 23,148.96, 34,709.44 and 9,092.16

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Solution

The fourth proportional to 23,148.96, 34,709.44 and 9,092.16 is: 13,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.96 : 34,709.44 = 9,092.16 : x
  2. Step 2: Convert to fraction form
    23,148.96/34,709.44 = 9,092.16/x
  3. Step 3: Cross multiply
    23,148.96x = 34,709.44 × 9,092.16
  4. Step 4: Simplify right side
    23,148.96x = 315,583,781.99
  5. Step 5: Solve for x
    x = 315,583,781.99/23,148.96
  6. Step 6: Final answer
    x = 13,632.74

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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.