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Finding the Fourth Proportional to 12,429.54, 18,644.30 and 8,522.10

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Solution

The fourth proportional to 12,429.54, 18,644.30 and 8,522.10 is: 12,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.54 : 18,644.30 = 8,522.10 : x
  2. Step 2: Convert to fraction form
    12,429.54/18,644.30 = 8,522.10/x
  3. Step 3: Cross multiply
    12,429.54x = 18,644.30 × 8,522.10
  4. Step 4: Simplify right side
    12,429.54x = 158,888,589.03
  5. Step 5: Solve for x
    x = 158,888,589.03/12,429.54
  6. Step 6: Final answer
    x = 12,783.14

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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.