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Finding the Fourth Proportional to 17,090.64, 23,578.50 and 10,706.12

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Solution

The fourth proportional to 17,090.64, 23,578.50 and 10,706.12 is: 14,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090.64 : 23,578.50 = 10,706.12 : x
  2. Step 2: Convert to fraction form
    17,090.64/23,578.50 = 10,706.12/x
  3. Step 3: Cross multiply
    17,090.64x = 23,578.50 × 10,706.12
  4. Step 4: Simplify right side
    17,090.64x = 252,434,132.53
  5. Step 5: Solve for x
    x = 252,434,132.53/17,090.64
  6. Step 6: Final answer
    x = 14,770.32

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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.