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Finding the Fourth Proportional to 13,648.41, 20,473.02 and 5,328.09

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Solution

The fourth proportional to 13,648.41, 20,473.02 and 5,328.09 is: 7,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.41 : 20,473.02 = 5,328.09 : x
  2. Step 2: Convert to fraction form
    13,648.41/20,473.02 = 5,328.09/x
  3. Step 3: Cross multiply
    13,648.41x = 20,473.02 × 5,328.09
  4. Step 4: Simplify right side
    13,648.41x = 109,082,093.13
  5. Step 5: Solve for x
    x = 109,082,093.13/13,648.41
  6. Step 6: Final answer
    x = 7,992.29

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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.