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Finding the Fourth Proportional to 17,059.60, 23,540.64 and 9,505.16

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Solution

The fourth proportional to 17,059.60, 23,540.64 and 9,505.16 is: 13,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.60 : 23,540.64 = 9,505.16 : x
  2. Step 2: Convert to fraction form
    17,059.60/23,540.64 = 9,505.16/x
  3. Step 3: Cross multiply
    17,059.60x = 23,540.64 × 9,505.16
  4. Step 4: Simplify right side
    17,059.60x = 223,757,549.70
  5. Step 5: Solve for x
    x = 223,757,549.70/17,059.60
  6. Step 6: Final answer
    x = 13,116.22

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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.