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Finding the Fourth Proportional to 13,429.64, 18,535.20 and 8,648.24

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Solution

The fourth proportional to 13,429.64, 18,535.20 and 8,648.24 is: 11,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.64 : 18,535.20 = 8,648.24 : x
  2. Step 2: Convert to fraction form
    13,429.64/18,535.20 = 8,648.24/x
  3. Step 3: Cross multiply
    13,429.64x = 18,535.20 × 8,648.24
  4. Step 4: Simplify right side
    13,429.64x = 160,296,858.05
  5. Step 5: Solve for x
    x = 160,296,858.05/13,429.64
  6. Step 6: Final answer
    x = 11,936.05

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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.