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Finding the Fourth Proportional to 16,912.96, 25,317.60 and 9,102.40

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Solution

The fourth proportional to 16,912.96, 25,317.60 and 9,102.40 is: 13,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.96 : 25,317.60 = 9,102.40 : x
  2. Step 2: Convert to fraction form
    16,912.96/25,317.60 = 9,102.40/x
  3. Step 3: Cross multiply
    16,912.96x = 25,317.60 × 9,102.40
  4. Step 4: Simplify right side
    16,912.96x = 230,450,922.24
  5. Step 5: Solve for x
    x = 230,450,922.24/16,912.96
  6. Step 6: Final answer
    x = 13,625.70

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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.