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Finding the Fourth Proportional to 14,647.54, 20,213.14 and 8,359.60

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Solution

The fourth proportional to 14,647.54, 20,213.14 and 8,359.60 is: 11,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.54 : 20,213.14 = 8,359.60 : x
  2. Step 2: Convert to fraction form
    14,647.54/20,213.14 = 8,359.60/x
  3. Step 3: Cross multiply
    14,647.54x = 20,213.14 × 8,359.60
  4. Step 4: Simplify right side
    14,647.54x = 168,973,765.14
  5. Step 5: Solve for x
    x = 168,973,765.14/14,647.54
  6. Step 6: Final answer
    x = 11,535.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.