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Finding the Fourth Proportional to 16,914.57, 23,341.81 and 9,360.76

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Solution

The fourth proportional to 16,914.57, 23,341.81 and 9,360.76 is: 12,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.57 : 23,341.81 = 9,360.76 : x
  2. Step 2: Convert to fraction form
    16,914.57/23,341.81 = 9,360.76/x
  3. Step 3: Cross multiply
    16,914.57x = 23,341.81 × 9,360.76
  4. Step 4: Simplify right side
    16,914.57x = 218,497,081.38
  5. Step 5: Solve for x
    x = 218,497,081.38/16,914.57
  6. Step 6: Final answer
    x = 12,917.68

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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.