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Finding the Fourth Proportional to 12,399.51, 18,557.74 and 10,178.26

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Solution

The fourth proportional to 12,399.51, 18,557.74 and 10,178.26 is: 15,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.51 : 18,557.74 = 10,178.26 : x
  2. Step 2: Convert to fraction form
    12,399.51/18,557.74 = 10,178.26/x
  3. Step 3: Cross multiply
    12,399.51x = 18,557.74 × 10,178.26
  4. Step 4: Simplify right side
    12,399.51x = 188,885,469.06
  5. Step 5: Solve for x
    x = 188,885,469.06/12,399.51
  6. Step 6: Final answer
    x = 15,233.30

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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.