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Finding the Fourth Proportional to 14,496.30, 20,004.57 and 8,208.54

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Solution

The fourth proportional to 14,496.30, 20,004.57 and 8,208.54 is: 11,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.30 : 20,004.57 = 8,208.54 : x
  2. Step 2: Convert to fraction form
    14,496.30/20,004.57 = 8,208.54/x
  3. Step 3: Cross multiply
    14,496.30x = 20,004.57 × 8,208.54
  4. Step 4: Simplify right side
    14,496.30x = 164,208,313.03
  5. Step 5: Solve for x
    x = 164,208,313.03/14,496.30
  6. Step 6: Final answer
    x = 11,327.60

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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.