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Finding the Fourth Proportional to 17,059.21, 23,541.06 and 9,505.38

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Solution

The fourth proportional to 17,059.21, 23,541.06 and 9,505.38 is: 13,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.21 : 23,541.06 = 9,505.38 : x
  2. Step 2: Convert to fraction form
    17,059.21/23,541.06 = 9,505.38/x
  3. Step 3: Cross multiply
    17,059.21x = 23,541.06 × 9,505.38
  4. Step 4: Simplify right side
    17,059.21x = 223,766,720.90
  5. Step 5: Solve for x
    x = 223,766,720.90/17,059.21
  6. Step 6: Final answer
    x = 13,117.06

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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.