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Finding the Fourth Proportional to 17,182.25, 23,711.11 and 10,109.13

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Solution

The fourth proportional to 17,182.25, 23,711.11 and 10,109.13 is: 13,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.25 : 23,711.11 = 10,109.13 : x
  2. Step 2: Convert to fraction form
    17,182.25/23,711.11 = 10,109.13/x
  3. Step 3: Cross multiply
    17,182.25x = 23,711.11 × 10,109.13
  4. Step 4: Simplify right side
    17,182.25x = 239,698,668.16
  5. Step 5: Solve for x
    x = 239,698,668.16/17,182.25
  6. Step 6: Final answer
    x = 13,950.36

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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.