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Finding the Fourth Proportional to 17,085.30, 23,578.30 and 9,914.68

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Solution

The fourth proportional to 17,085.30, 23,578.30 and 9,914.68 is: 13,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.30 : 23,578.30 = 9,914.68 : x
  2. Step 2: Convert to fraction form
    17,085.30/23,578.30 = 9,914.68/x
  3. Step 3: Cross multiply
    17,085.30x = 23,578.30 × 9,914.68
  4. Step 4: Simplify right side
    17,085.30x = 233,771,299.44
  5. Step 5: Solve for x
    x = 233,771,299.44/17,085.30
  6. Step 6: Final answer
    x = 13,682.60

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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.