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Finding the Fourth Proportional to 12,446.48, 18,675.48 and 5,522.96

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Solution

The fourth proportional to 12,446.48, 18,675.48 and 5,522.96 is: 8,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.48 : 18,675.48 = 5,522.96 : x
  2. Step 2: Convert to fraction form
    12,446.48/18,675.48 = 5,522.96/x
  3. Step 3: Cross multiply
    12,446.48x = 18,675.48 × 5,522.96
  4. Step 4: Simplify right side
    12,446.48x = 103,143,929.02
  5. Step 5: Solve for x
    x = 103,143,929.02/12,446.48
  6. Step 6: Final answer
    x = 8,287.00

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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.