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Finding the Fourth Proportional to 23,384.72, 32,270.46 and 12,774

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Solution

The fourth proportional to 23,384.72, 32,270.46 and 12,774 is: 17,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.72 : 32,270.46 = 12,774 : x
  2. Step 2: Convert to fraction form
    23,384.72/32,270.46 = 12,774/x
  3. Step 3: Cross multiply
    23,384.72x = 32,270.46 × 12,774
  4. Step 4: Simplify right side
    23,384.72x = 412,222,856.04
  5. Step 5: Solve for x
    x = 412,222,856.04/23,384.72
  6. Step 6: Final answer
    x = 17,627.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.