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Finding the Fourth Proportional to 16,179.66, 24,255.05 and 6,316.64

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Solution

The fourth proportional to 16,179.66, 24,255.05 and 6,316.64 is: 9,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.66 : 24,255.05 = 6,316.64 : x
  2. Step 2: Convert to fraction form
    16,179.66/24,255.05 = 6,316.64/x
  3. Step 3: Cross multiply
    16,179.66x = 24,255.05 × 6,316.64
  4. Step 4: Simplify right side
    16,179.66x = 153,210,419.03
  5. Step 5: Solve for x
    x = 153,210,419.03/16,179.66
  6. Step 6: Final answer
    x = 9,469.32

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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.