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Finding the Fourth Proportional to 16,884, 23,301.36 and 9,433.44

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Solution

The fourth proportional to 16,884, 23,301.36 and 9,433.44 is: 13,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884 : 23,301.36 = 9,433.44 : x
  2. Step 2: Convert to fraction form
    16,884/23,301.36 = 9,433.44/x
  3. Step 3: Cross multiply
    16,884x = 23,301.36 × 9,433.44
  4. Step 4: Simplify right side
    16,884x = 219,811,981.48
  5. Step 5: Solve for x
    x = 219,811,981.48/16,884
  6. Step 6: Final answer
    x = 13,018.95

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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.