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Finding the Fourth Proportional to 13,700, 18,905.97 and 7,412.37

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Solution

The fourth proportional to 13,700, 18,905.97 and 7,412.37 is: 10,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700 : 18,905.97 = 7,412.37 : x
  2. Step 2: Convert to fraction form
    13,700/18,905.97 = 7,412.37/x
  3. Step 3: Cross multiply
    13,700x = 18,905.97 × 7,412.37
  4. Step 4: Simplify right side
    13,700x = 140,138,044.85
  5. Step 5: Solve for x
    x = 140,138,044.85/13,700
  6. Step 6: Final answer
    x = 10,229.05

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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.