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Finding the Fourth Proportional to 17,668.14, 24,381.99 and 9,710.43

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Solution

The fourth proportional to 17,668.14, 24,381.99 and 9,710.43 is: 13,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.14 : 24,381.99 = 9,710.43 : x
  2. Step 2: Convert to fraction form
    17,668.14/24,381.99 = 9,710.43/x
  3. Step 3: Cross multiply
    17,668.14x = 24,381.99 × 9,710.43
  4. Step 4: Simplify right side
    17,668.14x = 236,759,607.16
  5. Step 5: Solve for x
    x = 236,759,607.16/17,668.14
  6. Step 6: Final answer
    x = 13,400.37

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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.