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Finding the Fourth Proportional to 13,563.96, 18,721.26 and 8,259

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Solution

The fourth proportional to 13,563.96, 18,721.26 and 8,259 is: 11,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.96 : 18,721.26 = 8,259 : x
  2. Step 2: Convert to fraction form
    13,563.96/18,721.26 = 8,259/x
  3. Step 3: Cross multiply
    13,563.96x = 18,721.26 × 8,259
  4. Step 4: Simplify right side
    13,563.96x = 154,618,886.34
  5. Step 5: Solve for x
    x = 154,618,886.34/13,563.96
  6. Step 6: Final answer
    x = 11,399.24

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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.