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Finding the Fourth Proportional to 12,638.64, 18,964.36 and 8,526

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Solution

The fourth proportional to 12,638.64, 18,964.36 and 8,526 is: 12,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.64 : 18,964.36 = 8,526 : x
  2. Step 2: Convert to fraction form
    12,638.64/18,964.36 = 8,526/x
  3. Step 3: Cross multiply
    12,638.64x = 18,964.36 × 8,526
  4. Step 4: Simplify right side
    12,638.64x = 161,690,133.36
  5. Step 5: Solve for x
    x = 161,690,133.36/12,638.64
  6. Step 6: Final answer
    x = 12,793.32

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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.