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Finding the Fourth Proportional to 16,277.63, 24,419.61 and 6,917.54

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Solution

The fourth proportional to 16,277.63, 24,419.61 and 6,917.54 is: 10,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.63 : 24,419.61 = 6,917.54 : x
  2. Step 2: Convert to fraction form
    16,277.63/24,419.61 = 6,917.54/x
  3. Step 3: Cross multiply
    16,277.63x = 24,419.61 × 6,917.54
  4. Step 4: Simplify right side
    16,277.63x = 168,923,506.86
  5. Step 5: Solve for x
    x = 168,923,506.86/16,277.63
  6. Step 6: Final answer
    x = 10,377.65

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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.