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Finding the Fourth Proportional to 16,697.88, 23,042.56 and 9,143.90

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Solution

The fourth proportional to 16,697.88, 23,042.56 and 9,143.90 is: 12,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.88 : 23,042.56 = 9,143.90 : x
  2. Step 2: Convert to fraction form
    16,697.88/23,042.56 = 9,143.90/x
  3. Step 3: Cross multiply
    16,697.88x = 23,042.56 × 9,143.90
  4. Step 4: Simplify right side
    16,697.88x = 210,698,864.38
  5. Step 5: Solve for x
    x = 210,698,864.38/16,697.88
  6. Step 6: Final answer
    x = 12,618.30

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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.