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Finding the Fourth Proportional to 17,496.51, 24,145.09 and 9,538.66

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Solution

The fourth proportional to 17,496.51, 24,145.09 and 9,538.66 is: 13,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.51 : 24,145.09 = 9,538.66 : x
  2. Step 2: Convert to fraction form
    17,496.51/24,145.09 = 9,538.66/x
  3. Step 3: Cross multiply
    17,496.51x = 24,145.09 × 9,538.66
  4. Step 4: Simplify right side
    17,496.51x = 230,311,810.51
  5. Step 5: Solve for x
    x = 230,311,810.51/17,496.51
  6. Step 6: Final answer
    x = 13,163.30

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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.