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Finding the Fourth Proportional to 16,815.84, 23,206.38 and 9,262.41

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Solution

The fourth proportional to 16,815.84, 23,206.38 and 9,262.41 is: 12,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815.84 : 23,206.38 = 9,262.41 : x
  2. Step 2: Convert to fraction form
    16,815.84/23,206.38 = 9,262.41/x
  3. Step 3: Cross multiply
    16,815.84x = 23,206.38 × 9,262.41
  4. Step 4: Simplify right side
    16,815.84x = 214,947,006.18
  5. Step 5: Solve for x
    x = 214,947,006.18/16,815.84
  6. Step 6: Final answer
    x = 12,782.41

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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.