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Finding the Fourth Proportional to 13,679.96, 20,497.44 and 5,775.98

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Solution

The fourth proportional to 13,679.96, 20,497.44 and 5,775.98 is: 8,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.96 : 20,497.44 = 5,775.98 : x
  2. Step 2: Convert to fraction form
    13,679.96/20,497.44 = 5,775.98/x
  3. Step 3: Cross multiply
    13,679.96x = 20,497.44 × 5,775.98
  4. Step 4: Simplify right side
    13,679.96x = 118,392,803.49
  5. Step 5: Solve for x
    x = 118,392,803.49/13,679.96
  6. Step 6: Final answer
    x = 8,654.47

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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.