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Finding the Fourth Proportional to 14,800.64, 22,200.96 and 7,414.16

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Solution

The fourth proportional to 14,800.64, 22,200.96 and 7,414.16 is: 11,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.64 : 22,200.96 = 7,414.16 : x
  2. Step 2: Convert to fraction form
    14,800.64/22,200.96 = 7,414.16/x
  3. Step 3: Cross multiply
    14,800.64x = 22,200.96 × 7,414.16
  4. Step 4: Simplify right side
    14,800.64x = 164,601,469.59
  5. Step 5: Solve for x
    x = 164,601,469.59/14,800.64
  6. Step 6: Final answer
    x = 11,121.24

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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.