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Finding the Fourth Proportional to 13,283.28, 18,346.10 and 9,027.24

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Solution

The fourth proportional to 13,283.28, 18,346.10 and 9,027.24 is: 12,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.28 : 18,346.10 = 9,027.24 : x
  2. Step 2: Convert to fraction form
    13,283.28/18,346.10 = 9,027.24/x
  3. Step 3: Cross multiply
    13,283.28x = 18,346.10 × 9,027.24
  4. Step 4: Simplify right side
    13,283.28x = 165,614,647.76
  5. Step 5: Solve for x
    x = 165,614,647.76/13,283.28
  6. Step 6: Final answer
    x = 12,467.90

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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.