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Finding the Fourth Proportional to 16,805, 23,190.96 and 9,353

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Solution

The fourth proportional to 16,805, 23,190.96 and 9,353 is: 12,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805 : 23,190.96 = 9,353 : x
  2. Step 2: Convert to fraction form
    16,805/23,190.96 = 9,353/x
  3. Step 3: Cross multiply
    16,805x = 23,190.96 × 9,353
  4. Step 4: Simplify right side
    16,805x = 216,905,048.88
  5. Step 5: Solve for x
    x = 216,905,048.88/16,805
  6. Step 6: Final answer
    x = 12,907.17

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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.