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Finding the Fourth Proportional to 16,976.84, 23,426.96 and 9,423.18

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Solution

The fourth proportional to 16,976.84, 23,426.96 and 9,423.18 is: 13,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.84 : 23,426.96 = 9,423.18 : x
  2. Step 2: Convert to fraction form
    16,976.84/23,426.96 = 9,423.18/x
  3. Step 3: Cross multiply
    16,976.84x = 23,426.96 × 9,423.18
  4. Step 4: Simplify right side
    16,976.84x = 220,756,413.82
  5. Step 5: Solve for x
    x = 220,756,413.82/16,976.84
  6. Step 6: Final answer
    x = 13,003.38

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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.