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Finding the Fourth Proportional to 13,647.29, 20,470.29 and 5,328.83

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Solution

The fourth proportional to 13,647.29, 20,470.29 and 5,328.83 is: 7,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.29 : 20,470.29 = 5,328.83 : x
  2. Step 2: Convert to fraction form
    13,647.29/20,470.29 = 5,328.83/x
  3. Step 3: Cross multiply
    13,647.29x = 20,470.29 × 5,328.83
  4. Step 4: Simplify right side
    13,647.29x = 109,082,593.11
  5. Step 5: Solve for x
    x = 109,082,593.11/13,647.29
  6. Step 6: Final answer
    x = 7,992.99

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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.