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Finding the Fourth Proportional to 12,453.64, 18,678.15 and 3,686.47

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Solution

The fourth proportional to 12,453.64, 18,678.15 and 3,686.47 is: 5,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.64 : 18,678.15 = 3,686.47 : x
  2. Step 2: Convert to fraction form
    12,453.64/18,678.15 = 3,686.47/x
  3. Step 3: Cross multiply
    12,453.64x = 18,678.15 × 3,686.47
  4. Step 4: Simplify right side
    12,453.64x = 68,856,392.94
  5. Step 5: Solve for x
    x = 68,856,392.94/12,453.64
  6. Step 6: Final answer
    x = 5,529.02

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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.