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Finding the Fourth Proportional to 16,960.86, 23,407.42 and 9,409.62

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Solution

The fourth proportional to 16,960.86, 23,407.42 and 9,409.62 is: 12,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960.86 : 23,407.42 = 9,409.62 : x
  2. Step 2: Convert to fraction form
    16,960.86/23,407.42 = 9,409.62/x
  3. Step 3: Cross multiply
    16,960.86x = 23,407.42 × 9,409.62
  4. Step 4: Simplify right side
    16,960.86x = 220,254,927.38
  5. Step 5: Solve for x
    x = 220,254,927.38/16,960.86
  6. Step 6: Final answer
    x = 12,986.07

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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.