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Finding the Fourth Proportional to 16,964.56, 23,411.23 and 9,411.38

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Solution

The fourth proportional to 16,964.56, 23,411.23 and 9,411.38 is: 12,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.56 : 23,411.23 = 9,411.38 : x
  2. Step 2: Convert to fraction form
    16,964.56/23,411.23 = 9,411.38/x
  3. Step 3: Cross multiply
    16,964.56x = 23,411.23 × 9,411.38
  4. Step 4: Simplify right side
    16,964.56x = 220,331,899.74
  5. Step 5: Solve for x
    x = 220,331,899.74/16,964.56
  6. Step 6: Final answer
    x = 12,987.78

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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.