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Finding the Fourth Proportional to 16,277.33, 24,419.25 and 6,917.27

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Solution

The fourth proportional to 16,277.33, 24,419.25 and 6,917.27 is: 10,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.33 : 24,419.25 = 6,917.27 : x
  2. Step 2: Convert to fraction form
    16,277.33/24,419.25 = 6,917.27/x
  3. Step 3: Cross multiply
    16,277.33x = 24,419.25 × 6,917.27
  4. Step 4: Simplify right side
    16,277.33x = 168,914,423.35
  5. Step 5: Solve for x
    x = 168,914,423.35/16,277.33
  6. Step 6: Final answer
    x = 10,377.28

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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.