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Finding the Fourth Proportional to 12,164.96, 18,233.40 and 6,313.52

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Solution

The fourth proportional to 12,164.96, 18,233.40 and 6,313.52 is: 9,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.96 : 18,233.40 = 6,313.52 : x
  2. Step 2: Convert to fraction form
    12,164.96/18,233.40 = 6,313.52/x
  3. Step 3: Cross multiply
    12,164.96x = 18,233.40 × 6,313.52
  4. Step 4: Simplify right side
    12,164.96x = 115,116,935.57
  5. Step 5: Solve for x
    x = 115,116,935.57/12,164.96
  6. Step 6: Final answer
    x = 9,462.99

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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.