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Finding the Fourth Proportional to 13,027.50, 17,992.80 and 8,828.46

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Solution

The fourth proportional to 13,027.50, 17,992.80 and 8,828.46 is: 12,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.50 : 17,992.80 = 8,828.46 : x
  2. Step 2: Convert to fraction form
    13,027.50/17,992.80 = 8,828.46/x
  3. Step 3: Cross multiply
    13,027.50x = 17,992.80 × 8,828.46
  4. Step 4: Simplify right side
    13,027.50x = 158,848,715.09
  5. Step 5: Solve for x
    x = 158,848,715.09/13,027.50
  6. Step 6: Final answer
    x = 12,193.34

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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.