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Finding the Fourth Proportional to 13,506.72, 20,260.80 and 4,272

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Solution

The fourth proportional to 13,506.72, 20,260.80 and 4,272 is: 6,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.72 : 20,260.80 = 4,272 : x
  2. Step 2: Convert to fraction form
    13,506.72/20,260.80 = 4,272/x
  3. Step 3: Cross multiply
    13,506.72x = 20,260.80 × 4,272
  4. Step 4: Simplify right side
    13,506.72x = 86,554,137.60
  5. Step 5: Solve for x
    x = 86,554,137.60/13,506.72
  6. Step 6: Final answer
    x = 6,408.23

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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.