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Finding the Fourth Proportional to 13,605.12, 20,412.22 and 5,285.41

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Solution

The fourth proportional to 13,605.12, 20,412.22 and 5,285.41 is: 7,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.12 : 20,412.22 = 5,285.41 : x
  2. Step 2: Convert to fraction form
    13,605.12/20,412.22 = 5,285.41/x
  3. Step 3: Cross multiply
    13,605.12x = 20,412.22 × 5,285.41
  4. Step 4: Simplify right side
    13,605.12x = 107,886,887.47
  5. Step 5: Solve for x
    x = 107,886,887.47/13,605.12
  6. Step 6: Final answer
    x = 7,929.87

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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.