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Finding the Fourth Proportional to 16,709.40, 23,057.94 and 9,154.38

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Solution

The fourth proportional to 16,709.40, 23,057.94 and 9,154.38 is: 12,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.40 : 23,057.94 = 9,154.38 : x
  2. Step 2: Convert to fraction form
    16,709.40/23,057.94 = 9,154.38/x
  3. Step 3: Cross multiply
    16,709.40x = 23,057.94 × 9,154.38
  4. Step 4: Simplify right side
    16,709.40x = 211,081,144.78
  5. Step 5: Solve for x
    x = 211,081,144.78/16,709.40
  6. Step 6: Final answer
    x = 12,632.48

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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.