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Finding the Fourth Proportional to 16,627, 24,940.47 and 9,696.64

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Solution

The fourth proportional to 16,627, 24,940.47 and 9,696.64 is: 14,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627 : 24,940.47 = 9,696.64 : x
  2. Step 2: Convert to fraction form
    16,627/24,940.47 = 9,696.64/x
  3. Step 3: Cross multiply
    16,627x = 24,940.47 × 9,696.64
  4. Step 4: Simplify right side
    16,627x = 241,838,759.02
  5. Step 5: Solve for x
    x = 241,838,759.02/16,627
  6. Step 6: Final answer
    x = 14,544.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.