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Finding the Fourth Proportional to 17,109.30, 25,661.37 and 5,421

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Solution

The fourth proportional to 17,109.30, 25,661.37 and 5,421 is: 8,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.30 : 25,661.37 = 5,421 : x
  2. Step 2: Convert to fraction form
    17,109.30/25,661.37 = 5,421/x
  3. Step 3: Cross multiply
    17,109.30x = 25,661.37 × 5,421
  4. Step 4: Simplify right side
    17,109.30x = 139,110,286.77
  5. Step 5: Solve for x
    x = 139,110,286.77/17,109.30
  6. Step 6: Final answer
    x = 8,130.68

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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.