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Finding the Fourth Proportional to 12,467.74, 18,696.14 and 4,671.08

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Solution

The fourth proportional to 12,467.74, 18,696.14 and 4,671.08 is: 7,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.74 : 18,696.14 = 4,671.08 : x
  2. Step 2: Convert to fraction form
    12,467.74/18,696.14 = 4,671.08/x
  3. Step 3: Cross multiply
    12,467.74x = 18,696.14 × 4,671.08
  4. Step 4: Simplify right side
    12,467.74x = 87,331,165.63
  5. Step 5: Solve for x
    x = 87,331,165.63/12,467.74
  6. Step 6: Final answer
    x = 7,004.57

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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.