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Finding the Fourth Proportional to 16,952.69, 23,394.42 and 9,295.97

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Solution

The fourth proportional to 16,952.69, 23,394.42 and 9,295.97 is: 12,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.69 : 23,394.42 = 9,295.97 : x
  2. Step 2: Convert to fraction form
    16,952.69/23,394.42 = 9,295.97/x
  3. Step 3: Cross multiply
    16,952.69x = 23,394.42 × 9,295.97
  4. Step 4: Simplify right side
    16,952.69x = 217,473,709.52
  5. Step 5: Solve for x
    x = 217,473,709.52/16,952.69
  6. Step 6: Final answer
    x = 12,828.27

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1.5x scale

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.