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Finding the Fourth Proportional to 13,228.44, 19,835.64 and 5,824.32

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Solution

The fourth proportional to 13,228.44, 19,835.64 and 5,824.32 is: 8,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.44 : 19,835.64 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    13,228.44/19,835.64 = 5,824.32/x
  3. Step 3: Cross multiply
    13,228.44x = 19,835.64 × 5,824.32
  4. Step 4: Simplify right side
    13,228.44x = 115,529,114.76
  5. Step 5: Solve for x
    x = 115,529,114.76/13,228.44
  6. Step 6: Final answer
    x = 8,733.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.