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Finding the Fourth Proportional to 21,742, 30,004.08 and 11,806

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Solution

The fourth proportional to 21,742, 30,004.08 and 11,806 is: 16,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742 : 30,004.08 = 11,806 : x
  2. Step 2: Convert to fraction form
    21,742/30,004.08 = 11,806/x
  3. Step 3: Cross multiply
    21,742x = 30,004.08 × 11,806
  4. Step 4: Simplify right side
    21,742x = 354,228,168.48
  5. Step 5: Solve for x
    x = 354,228,168.48/21,742
  6. Step 6: Final answer
    x = 16,292.35

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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.