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Finding the Fourth Proportional to 12,976.16, 17,913.04 and 8,266.82

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Solution

The fourth proportional to 12,976.16, 17,913.04 and 8,266.82 is: 11,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.16 : 17,913.04 = 8,266.82 : x
  2. Step 2: Convert to fraction form
    12,976.16/17,913.04 = 8,266.82/x
  3. Step 3: Cross multiply
    12,976.16x = 17,913.04 × 8,266.82
  4. Step 4: Simplify right side
    12,976.16x = 148,083,877.33
  5. Step 5: Solve for x
    x = 148,083,877.33/12,976.16
  6. Step 6: Final answer
    x = 11,412.00

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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.