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Finding the Fourth Proportional to 13,419.54, 20,136 and 6,029.28

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Solution

The fourth proportional to 13,419.54, 20,136 and 6,029.28 is: 9,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.54 : 20,136 = 6,029.28 : x
  2. Step 2: Convert to fraction form
    13,419.54/20,136 = 6,029.28/x
  3. Step 3: Cross multiply
    13,419.54x = 20,136 × 6,029.28
  4. Step 4: Simplify right side
    13,419.54x = 121,405,582.08
  5. Step 5: Solve for x
    x = 121,405,582.08/13,419.54
  6. Step 6: Final answer
    x = 9,046.93

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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.