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Finding the Fourth Proportional to 13,456.72, 18,573 and 7,869.52

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Solution

The fourth proportional to 13,456.72, 18,573 and 7,869.52 is: 10,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.72 : 18,573 = 7,869.52 : x
  2. Step 2: Convert to fraction form
    13,456.72/18,573 = 7,869.52/x
  3. Step 3: Cross multiply
    13,456.72x = 18,573 × 7,869.52
  4. Step 4: Simplify right side
    13,456.72x = 146,160,594.96
  5. Step 5: Solve for x
    x = 146,160,594.96/13,456.72
  6. Step 6: Final answer
    x = 10,861.53

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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.