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Finding the Fourth Proportional to 13,027.53, 19,525.26 and 7,409.91

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Solution

The fourth proportional to 13,027.53, 19,525.26 and 7,409.91 is: 11,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.53 : 19,525.26 = 7,409.91 : x
  2. Step 2: Convert to fraction form
    13,027.53/19,525.26 = 7,409.91/x
  3. Step 3: Cross multiply
    13,027.53x = 19,525.26 × 7,409.91
  4. Step 4: Simplify right side
    13,027.53x = 144,680,419.33
  5. Step 5: Solve for x
    x = 144,680,419.33/13,027.53
  6. Step 6: Final answer
    x = 11,105.74

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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.