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Finding the Fourth Proportional to 17,496.51, 24,145 and 9,538.56

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Solution

The fourth proportional to 17,496.51, 24,145 and 9,538.56 is: 13,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.51 : 24,145 = 9,538.56 : x
  2. Step 2: Convert to fraction form
    17,496.51/24,145 = 9,538.56/x
  3. Step 3: Cross multiply
    17,496.51x = 24,145 × 9,538.56
  4. Step 4: Simplify right side
    17,496.51x = 230,308,531.20
  5. Step 5: Solve for x
    x = 230,308,531.20/17,496.51
  6. Step 6: Final answer
    x = 13,163.11

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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.