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Finding the Fourth Proportional to 13,506.70, 18,638.40 and 7,456.54

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Solution

The fourth proportional to 13,506.70, 18,638.40 and 7,456.54 is: 10,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.70 : 18,638.40 = 7,456.54 : x
  2. Step 2: Convert to fraction form
    13,506.70/18,638.40 = 7,456.54/x
  3. Step 3: Cross multiply
    13,506.70x = 18,638.40 × 7,456.54
  4. Step 4: Simplify right side
    13,506.70x = 138,977,975.14
  5. Step 5: Solve for x
    x = 138,977,975.14/13,506.70
  6. Step 6: Final answer
    x = 10,289.56

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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.