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Finding the Fourth Proportional to 17,106.38, 25,660.29 and 5,419.34

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Solution

The fourth proportional to 17,106.38, 25,660.29 and 5,419.34 is: 8,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.38 : 25,660.29 = 5,419.34 : x
  2. Step 2: Convert to fraction form
    17,106.38/25,660.29 = 5,419.34/x
  3. Step 3: Cross multiply
    17,106.38x = 25,660.29 × 5,419.34
  4. Step 4: Simplify right side
    17,106.38x = 139,061,836.01
  5. Step 5: Solve for x
    x = 139,061,836.01/17,106.38
  6. Step 6: Final answer
    x = 8,129.24

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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.