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Finding the Fourth Proportional to 12,210.45, 16,853.16 and 6,906.97

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Solution

The fourth proportional to 12,210.45, 16,853.16 and 6,906.97 is: 9,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.45 : 16,853.16 = 6,906.97 : x
  2. Step 2: Convert to fraction form
    12,210.45/16,853.16 = 6,906.97/x
  3. Step 3: Cross multiply
    12,210.45x = 16,853.16 × 6,906.97
  4. Step 4: Simplify right side
    12,210.45x = 116,404,317.49
  5. Step 5: Solve for x
    x = 116,404,317.49/12,210.45
  6. Step 6: Final answer
    x = 9,533.17

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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.