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Finding the Fourth Proportional to 13,426.24, 18,529 and 7,458.56

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Solution

The fourth proportional to 13,426.24, 18,529 and 7,458.56 is: 10,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.24 : 18,529 = 7,458.56 : x
  2. Step 2: Convert to fraction form
    13,426.24/18,529 = 7,458.56/x
  3. Step 3: Cross multiply
    13,426.24x = 18,529 × 7,458.56
  4. Step 4: Simplify right side
    13,426.24x = 138,199,658.24
  5. Step 5: Solve for x
    x = 138,199,658.24/13,426.24
  6. Step 6: Final answer
    x = 10,293.25

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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.