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Finding the Fourth Proportional to 17,102.88, 25,655.04 and 5,415.84

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Solution

The fourth proportional to 17,102.88, 25,655.04 and 5,415.84 is: 8,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.88 : 25,655.04 = 5,415.84 : x
  2. Step 2: Convert to fraction form
    17,102.88/25,655.04 = 5,415.84/x
  3. Step 3: Cross multiply
    17,102.88x = 25,655.04 × 5,415.84
  4. Step 4: Simplify right side
    17,102.88x = 138,943,591.83
  5. Step 5: Solve for x
    x = 138,943,591.83/17,102.88
  6. Step 6: Final answer
    x = 8,123.99

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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.