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Finding the Fourth Proportional to 16,164.46, 24,232.31 and 6,310.64

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Solution

The fourth proportional to 16,164.46, 24,232.31 and 6,310.64 is: 9,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.46 : 24,232.31 = 6,310.64 : x
  2. Step 2: Convert to fraction form
    16,164.46/24,232.31 = 6,310.64/x
  3. Step 3: Cross multiply
    16,164.46x = 24,232.31 × 6,310.64
  4. Step 4: Simplify right side
    16,164.46x = 152,921,232.06
  5. Step 5: Solve for x
    x = 152,921,232.06/16,164.46
  6. Step 6: Final answer
    x = 9,460.34

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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.