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Finding the Fourth Proportional to 17,109.68, 25,664.68 and 5,422

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Solution

The fourth proportional to 17,109.68, 25,664.68 and 5,422 is: 8,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.68 : 25,664.68 = 5,422 : x
  2. Step 2: Convert to fraction form
    17,109.68/25,664.68 = 5,422/x
  3. Step 3: Cross multiply
    17,109.68x = 25,664.68 × 5,422
  4. Step 4: Simplify right side
    17,109.68x = 139,153,894.96
  5. Step 5: Solve for x
    x = 139,153,894.96/17,109.68
  6. Step 6: Final answer
    x = 8,133.05

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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.