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Finding the Fourth Proportional to 14,676.80, 21,976.32 and 8,825.36

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Solution

The fourth proportional to 14,676.80, 21,976.32 and 8,825.36 is: 13,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.80 : 21,976.32 = 8,825.36 : x
  2. Step 2: Convert to fraction form
    14,676.80/21,976.32 = 8,825.36/x
  3. Step 3: Cross multiply
    14,676.80x = 21,976.32 × 8,825.36
  4. Step 4: Simplify right side
    14,676.80x = 193,948,935.48
  5. Step 5: Solve for x
    x = 193,948,935.48/14,676.80
  6. Step 6: Final answer
    x = 13,214.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.