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Finding the Fourth Proportional to 16,960.35, 23,406.72 and 9,409.12

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Solution

The fourth proportional to 16,960.35, 23,406.72 and 9,409.12 is: 12,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960.35 : 23,406.72 = 9,409.12 : x
  2. Step 2: Convert to fraction form
    16,960.35/23,406.72 = 9,409.12/x
  3. Step 3: Cross multiply
    16,960.35x = 23,406.72 × 9,409.12
  4. Step 4: Simplify right side
    16,960.35x = 220,236,637.29
  5. Step 5: Solve for x
    x = 220,236,637.29/16,960.35
  6. Step 6: Final answer
    x = 12,985.38

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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.