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Finding the Fourth Proportional to 14,299.56, 21,456.68 and 6,811.60

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Solution

The fourth proportional to 14,299.56, 21,456.68 and 6,811.60 is: 10,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.56 : 21,456.68 = 6,811.60 : x
  2. Step 2: Convert to fraction form
    14,299.56/21,456.68 = 6,811.60/x
  3. Step 3: Cross multiply
    14,299.56x = 21,456.68 × 6,811.60
  4. Step 4: Simplify right side
    14,299.56x = 146,154,321.49
  5. Step 5: Solve for x
    x = 146,154,321.49/14,299.56
  6. Step 6: Final answer
    x = 10,220.90

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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.