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Finding the Fourth Proportional to 17,129.28, 23,638.05 and 9,575.40

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Solution

The fourth proportional to 17,129.28, 23,638.05 and 9,575.40 is: 13,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.28 : 23,638.05 = 9,575.40 : x
  2. Step 2: Convert to fraction form
    17,129.28/23,638.05 = 9,575.40/x
  3. Step 3: Cross multiply
    17,129.28x = 23,638.05 × 9,575.40
  4. Step 4: Simplify right side
    17,129.28x = 226,343,783.97
  5. Step 5: Solve for x
    x = 226,343,783.97/17,129.28
  6. Step 6: Final answer
    x = 13,213.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.