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Finding the Fourth Proportional to 17,492.40, 26,228.97 and 11,952

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Solution

The fourth proportional to 17,492.40, 26,228.97 and 11,952 is: 17,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492.40 : 26,228.97 = 11,952 : x
  2. Step 2: Convert to fraction form
    17,492.40/26,228.97 = 11,952/x
  3. Step 3: Cross multiply
    17,492.40x = 26,228.97 × 11,952
  4. Step 4: Simplify right side
    17,492.40x = 313,488,649.44
  5. Step 5: Solve for x
    x = 313,488,649.44/17,492.40
  6. Step 6: Final answer
    x = 17,921.42

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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.