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Finding the Fourth Proportional to 14,250.92, 21,381.24 and 7,677.78

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Solution

The fourth proportional to 14,250.92, 21,381.24 and 7,677.78 is: 11,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,250.92 : 21,381.24 = 7,677.78 : x
  2. Step 2: Convert to fraction form
    14,250.92/21,381.24 = 7,677.78/x
  3. Step 3: Cross multiply
    14,250.92x = 21,381.24 × 7,677.78
  4. Step 4: Simplify right side
    14,250.92x = 164,160,456.85
  5. Step 5: Solve for x
    x = 164,160,456.85/14,250.92
  6. Step 6: Final answer
    x = 11,519.29

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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.