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Finding the Fourth Proportional to 14,677.72, 21,962 and 8,757.78

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Solution

The fourth proportional to 14,677.72, 21,962 and 8,757.78 is: 13,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.72 : 21,962 = 8,757.78 : x
  2. Step 2: Convert to fraction form
    14,677.72/21,962 = 8,757.78/x
  3. Step 3: Cross multiply
    14,677.72x = 21,962 × 8,757.78
  4. Step 4: Simplify right side
    14,677.72x = 192,338,364.36
  5. Step 5: Solve for x
    x = 192,338,364.36/14,677.72
  6. Step 6: Final answer
    x = 13,104.10

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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.