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Finding the Fourth Proportional to 17,059.86, 23,542.01 and 9,505.80

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Solution

The fourth proportional to 17,059.86, 23,542.01 and 9,505.80 is: 13,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.86 : 23,542.01 = 9,505.80 : x
  2. Step 2: Convert to fraction form
    17,059.86/23,542.01 = 9,505.80/x
  3. Step 3: Cross multiply
    17,059.86x = 23,542.01 × 9,505.80
  4. Step 4: Simplify right side
    17,059.86x = 223,785,591.13
  5. Step 5: Solve for x
    x = 223,785,591.13/17,059.86
  6. Step 6: Final answer
    x = 13,117.67

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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.