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Finding the Fourth Proportional to 13,486.34, 20,228.07 and 4,721.42

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Solution

The fourth proportional to 13,486.34, 20,228.07 and 4,721.42 is: 7,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.34 : 20,228.07 = 4,721.42 : x
  2. Step 2: Convert to fraction form
    13,486.34/20,228.07 = 4,721.42/x
  3. Step 3: Cross multiply
    13,486.34x = 20,228.07 × 4,721.42
  4. Step 4: Simplify right side
    13,486.34x = 95,505,214.26
  5. Step 5: Solve for x
    x = 95,505,214.26/13,486.34
  6. Step 6: Final answer
    x = 7,081.63

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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.