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Finding the Fourth Proportional to 17,102.88, 25,657.56 and 5,417.82

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Solution

The fourth proportional to 17,102.88, 25,657.56 and 5,417.82 is: 8,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.88 : 25,657.56 = 5,417.82 : x
  2. Step 2: Convert to fraction form
    17,102.88/25,657.56 = 5,417.82/x
  3. Step 3: Cross multiply
    17,102.88x = 25,657.56 × 5,417.82
  4. Step 4: Simplify right side
    17,102.88x = 139,008,041.72
  5. Step 5: Solve for x
    x = 139,008,041.72/17,102.88
  6. Step 6: Final answer
    x = 8,127.76

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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.