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Finding the Fourth Proportional to 13,022.64, 19,533.96 and 8,648.64

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Solution

The fourth proportional to 13,022.64, 19,533.96 and 8,648.64 is: 12,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.64 : 19,533.96 = 8,648.64 : x
  2. Step 2: Convert to fraction form
    13,022.64/19,533.96 = 8,648.64/x
  3. Step 3: Cross multiply
    13,022.64x = 19,533.96 × 8,648.64
  4. Step 4: Simplify right side
    13,022.64x = 168,942,187.81
  5. Step 5: Solve for x
    x = 168,942,187.81/13,022.64
  6. Step 6: Final answer
    x = 12,972.96

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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.