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Finding the Fourth Proportional to 17,149, 23,668.65 and 10,075.42

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Solution

The fourth proportional to 17,149, 23,668.65 and 10,075.42 is: 13,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149 : 23,668.65 = 10,075.42 : x
  2. Step 2: Convert to fraction form
    17,149/23,668.65 = 10,075.42/x
  3. Step 3: Cross multiply
    17,149x = 23,668.65 × 10,075.42
  4. Step 4: Simplify right side
    17,149x = 238,471,589.58
  5. Step 5: Solve for x
    x = 238,471,589.58/17,149
  6. Step 6: Final answer
    x = 13,905.86

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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.