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Finding the Fourth Proportional to 16,768.18, 23,139.97 and 9,111.38

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Solution

The fourth proportional to 16,768.18, 23,139.97 and 9,111.38 is: 12,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.18 : 23,139.97 = 9,111.38 : x
  2. Step 2: Convert to fraction form
    16,768.18/23,139.97 = 9,111.38/x
  3. Step 3: Cross multiply
    16,768.18x = 23,139.97 × 9,111.38
  4. Step 4: Simplify right side
    16,768.18x = 210,837,059.86
  5. Step 5: Solve for x
    x = 210,837,059.86/16,768.18
  6. Step 6: Final answer
    x = 12,573.64

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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.