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Finding the Fourth Proportional to 17,106.51, 25,660.49 and 5,419.47

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Solution

The fourth proportional to 17,106.51, 25,660.49 and 5,419.47 is: 8,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.51 : 25,660.49 = 5,419.47 : x
  2. Step 2: Convert to fraction form
    17,106.51/25,660.49 = 5,419.47/x
  3. Step 3: Cross multiply
    17,106.51x = 25,660.49 × 5,419.47
  4. Step 4: Simplify right side
    17,106.51x = 139,066,255.74
  5. Step 5: Solve for x
    x = 139,066,255.74/17,106.51
  6. Step 6: Final answer
    x = 8,129.43

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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.