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Finding the Fourth Proportional to 17,102.10, 25,653.15 and 5,415.30

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Solution

The fourth proportional to 17,102.10, 25,653.15 and 5,415.30 is: 8,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.10 : 25,653.15 = 5,415.30 : x
  2. Step 2: Convert to fraction form
    17,102.10/25,653.15 = 5,415.30/x
  3. Step 3: Cross multiply
    17,102.10x = 25,653.15 × 5,415.30
  4. Step 4: Simplify right side
    17,102.10x = 138,919,503.20
  5. Step 5: Solve for x
    x = 138,919,503.20/17,102.10
  6. Step 6: Final answer
    x = 8,122.95

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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.