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Finding the Fourth Proportional to 17,912.16, 24,722.64 and 10,461.60

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Solution

The fourth proportional to 17,912.16, 24,722.64 and 10,461.60 is: 14,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.16 : 24,722.64 = 10,461.60 : x
  2. Step 2: Convert to fraction form
    17,912.16/24,722.64 = 10,461.60/x
  3. Step 3: Cross multiply
    17,912.16x = 24,722.64 × 10,461.60
  4. Step 4: Simplify right side
    17,912.16x = 258,638,370.62
  5. Step 5: Solve for x
    x = 258,638,370.62/17,912.16
  6. Step 6: Final answer
    x = 14,439.26

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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.