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Finding the Fourth Proportional to 13,640.94, 18,837.09 and 12,904.38

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Solution

The fourth proportional to 13,640.94, 18,837.09 and 12,904.38 is: 17,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.94 : 18,837.09 = 12,904.38 : x
  2. Step 2: Convert to fraction form
    13,640.94/18,837.09 = 12,904.38/x
  3. Step 3: Cross multiply
    13,640.94x = 18,837.09 × 12,904.38
  4. Step 4: Simplify right side
    13,640.94x = 243,080,967.45
  5. Step 5: Solve for x
    x = 243,080,967.45/13,640.94
  6. Step 6: Final answer
    x = 17,819.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.