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Finding the Fourth Proportional to 13,003.60, 17,947.72 and 8,220.48

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Solution

The fourth proportional to 13,003.60, 17,947.72 and 8,220.48 is: 11,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.60 : 17,947.72 = 8,220.48 : x
  2. Step 2: Convert to fraction form
    13,003.60/17,947.72 = 8,220.48/x
  3. Step 3: Cross multiply
    13,003.60x = 17,947.72 × 8,220.48
  4. Step 4: Simplify right side
    13,003.60x = 147,538,873.31
  5. Step 5: Solve for x
    x = 147,538,873.31/13,003.60
  6. Step 6: Final answer
    x = 11,346.00

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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.