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Finding the Fourth Proportional to 12,262.81, 18,391.48 and 5,688.14

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Solution

The fourth proportional to 12,262.81, 18,391.48 and 5,688.14 is: 8,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.81 : 18,391.48 = 5,688.14 : x
  2. Step 2: Convert to fraction form
    12,262.81/18,391.48 = 5,688.14/x
  3. Step 3: Cross multiply
    12,262.81x = 18,391.48 × 5,688.14
  4. Step 4: Simplify right side
    12,262.81x = 104,613,313.05
  5. Step 5: Solve for x
    x = 104,613,313.05/12,262.81
  6. Step 6: Final answer
    x = 8,530.94

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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.