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Finding the Fourth Proportional to 17,013.76, 23,478.96 and 9,561.76

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Solution

The fourth proportional to 17,013.76, 23,478.96 and 9,561.76 is: 13,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.76 : 23,478.96 = 9,561.76 : x
  2. Step 2: Convert to fraction form
    17,013.76/23,478.96 = 9,561.76/x
  3. Step 3: Cross multiply
    17,013.76x = 23,478.96 × 9,561.76
  4. Step 4: Simplify right side
    17,013.76x = 224,500,180.57
  5. Step 5: Solve for x
    x = 224,500,180.57/17,013.76
  6. Step 6: Final answer
    x = 13,195.21

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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.