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Finding the Fourth Proportional to 12,313.09, 16,986.64 and 8,332.81

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Solution

The fourth proportional to 12,313.09, 16,986.64 and 8,332.81 is: 11,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.09 : 16,986.64 = 8,332.81 : x
  2. Step 2: Convert to fraction form
    12,313.09/16,986.64 = 8,332.81/x
  3. Step 3: Cross multiply
    12,313.09x = 16,986.64 × 8,332.81
  4. Step 4: Simplify right side
    12,313.09x = 141,546,443.66
  5. Step 5: Solve for x
    x = 141,546,443.66/12,313.09
  6. Step 6: Final answer
    x = 11,495.61

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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.