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Finding the Fourth Proportional to 13,277.67, 18,321.26 and 7,534.24

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Solution

The fourth proportional to 13,277.67, 18,321.26 and 7,534.24 is: 10,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.67 : 18,321.26 = 7,534.24 : x
  2. Step 2: Convert to fraction form
    13,277.67/18,321.26 = 7,534.24/x
  3. Step 3: Cross multiply
    13,277.67x = 18,321.26 × 7,534.24
  4. Step 4: Simplify right side
    13,277.67x = 138,036,738.00
  5. Step 5: Solve for x
    x = 138,036,738.00/13,277.67
  6. Step 6: Final answer
    x = 10,396.16

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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.