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Finding the Fourth Proportional to 12,462.46, 18,693.65 and 3,696.64

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Solution

The fourth proportional to 12,462.46, 18,693.65 and 3,696.64 is: 5,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.46 : 18,693.65 = 3,696.64 : x
  2. Step 2: Convert to fraction form
    12,462.46/18,693.65 = 3,696.64/x
  3. Step 3: Cross multiply
    12,462.46x = 18,693.65 × 3,696.64
  4. Step 4: Simplify right side
    12,462.46x = 69,103,656.84
  5. Step 5: Solve for x
    x = 69,103,656.84/12,462.46
  6. Step 6: Final answer
    x = 5,544.95

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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.