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Finding the Fourth Proportional to 13,486.56, 20,239 and 4,721.44

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Solution

The fourth proportional to 13,486.56, 20,239 and 4,721.44 is: 7,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.56 : 20,239 = 4,721.44 : x
  2. Step 2: Convert to fraction form
    13,486.56/20,239 = 4,721.44/x
  3. Step 3: Cross multiply
    13,486.56x = 20,239 × 4,721.44
  4. Step 4: Simplify right side
    13,486.56x = 95,557,224.16
  5. Step 5: Solve for x
    x = 95,557,224.16/13,486.56
  6. Step 6: Final answer
    x = 7,085.37

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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.