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Finding the Fourth Proportional to 12,318.32, 16,999.80 and 6,729.68

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Solution

The fourth proportional to 12,318.32, 16,999.80 and 6,729.68 is: 9,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.32 : 16,999.80 = 6,729.68 : x
  2. Step 2: Convert to fraction form
    12,318.32/16,999.80 = 6,729.68/x
  3. Step 3: Cross multiply
    12,318.32x = 16,999.80 × 6,729.68
  4. Step 4: Simplify right side
    12,318.32x = 114,403,214.06
  5. Step 5: Solve for x
    x = 114,403,214.06/12,318.32
  6. Step 6: Final answer
    x = 9,287.24

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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.