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Finding the Fourth Proportional to 12,305.36, 16,981.28 and 6,716.32

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Solution

The fourth proportional to 12,305.36, 16,981.28 and 6,716.32 is: 9,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.36 : 16,981.28 = 6,716.32 : x
  2. Step 2: Convert to fraction form
    12,305.36/16,981.28 = 6,716.32/x
  3. Step 3: Cross multiply
    12,305.36x = 16,981.28 × 6,716.32
  4. Step 4: Simplify right side
    12,305.36x = 114,051,710.49
  5. Step 5: Solve for x
    x = 114,051,710.49/12,305.36
  6. Step 6: Final answer
    x = 9,268.46

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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.