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Finding the Fourth Proportional to 17,108.40, 25,662.56 and 5,422.50

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Solution

The fourth proportional to 17,108.40, 25,662.56 and 5,422.50 is: 8,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,108.40 : 25,662.56 = 5,422.50 : x
  2. Step 2: Convert to fraction form
    17,108.40/25,662.56 = 5,422.50/x
  3. Step 3: Cross multiply
    17,108.40x = 25,662.56 × 5,422.50
  4. Step 4: Simplify right side
    17,108.40x = 139,155,231.60
  5. Step 5: Solve for x
    x = 139,155,231.60/17,108.40
  6. Step 6: Final answer
    x = 8,133.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.