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Finding the Fourth Proportional to 17,087.76, 25,632.96 and 6,562.84

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Solution

The fourth proportional to 17,087.76, 25,632.96 and 6,562.84 is: 9,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,087.76 : 25,632.96 = 6,562.84 : x
  2. Step 2: Convert to fraction form
    17,087.76/25,632.96 = 6,562.84/x
  3. Step 3: Cross multiply
    17,087.76x = 25,632.96 × 6,562.84
  4. Step 4: Simplify right side
    17,087.76x = 168,225,015.21
  5. Step 5: Solve for x
    x = 168,225,015.21/17,087.76
  6. Step 6: Final answer
    x = 9,844.77

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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.