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Finding the Fourth Proportional to 12,601.64, 18,903.54 and 3,836.64

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Solution

The fourth proportional to 12,601.64, 18,903.54 and 3,836.64 is: 5,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.64 : 18,903.54 = 3,836.64 : x
  2. Step 2: Convert to fraction form
    12,601.64/18,903.54 = 3,836.64/x
  3. Step 3: Cross multiply
    12,601.64x = 18,903.54 × 3,836.64
  4. Step 4: Simplify right side
    12,601.64x = 72,526,077.71
  5. Step 5: Solve for x
    x = 72,526,077.71/12,601.64
  6. Step 6: Final answer
    x = 5,755.29

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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.