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Finding the Fourth Proportional to 17,102.20, 25,656 and 7,241.54

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Solution

The fourth proportional to 17,102.20, 25,656 and 7,241.54 is: 10,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.20 : 25,656 = 7,241.54 : x
  2. Step 2: Convert to fraction form
    17,102.20/25,656 = 7,241.54/x
  3. Step 3: Cross multiply
    17,102.20x = 25,656 × 7,241.54
  4. Step 4: Simplify right side
    17,102.20x = 185,788,950.24
  5. Step 5: Solve for x
    x = 185,788,950.24/17,102.20
  6. Step 6: Final answer
    x = 10,863.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.