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Finding the Fourth Proportional to 17,195.85, 23,731.50 and 9,541.64

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Solution

The fourth proportional to 17,195.85, 23,731.50 and 9,541.64 is: 13,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,195.85 : 23,731.50 = 9,541.64 : x
  2. Step 2: Convert to fraction form
    17,195.85/23,731.50 = 9,541.64/x
  3. Step 3: Cross multiply
    17,195.85x = 23,731.50 × 9,541.64
  4. Step 4: Simplify right side
    17,195.85x = 226,437,311.00
  5. Step 5: Solve for x
    x = 226,437,311.00/17,195.85
  6. Step 6: Final answer
    x = 13,168.14

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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.