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Finding the Fourth Proportional to 13,488.34, 18,616.89 and 8,764.42

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Solution

The fourth proportional to 13,488.34, 18,616.89 and 8,764.42 is: 12,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.34 : 18,616.89 = 8,764.42 : x
  2. Step 2: Convert to fraction form
    13,488.34/18,616.89 = 8,764.42/x
  3. Step 3: Cross multiply
    13,488.34x = 18,616.89 × 8,764.42
  4. Step 4: Simplify right side
    13,488.34x = 163,166,243.05
  5. Step 5: Solve for x
    x = 163,166,243.05/13,488.34
  6. Step 6: Final answer
    x = 12,096.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.