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Finding the Fourth Proportional to 17,101.90, 25,652.57 and 5,415.10

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Solution

The fourth proportional to 17,101.90, 25,652.57 and 5,415.10 is: 8,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.90 : 25,652.57 = 5,415.10 : x
  2. Step 2: Convert to fraction form
    17,101.90/25,652.57 = 5,415.10/x
  3. Step 3: Cross multiply
    17,101.90x = 25,652.57 × 5,415.10
  4. Step 4: Simplify right side
    17,101.90x = 138,911,231.81
  5. Step 5: Solve for x
    x = 138,911,231.81/17,101.90
  6. Step 6: Final answer
    x = 8,122.56

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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.