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Finding the Fourth Proportional to 20,738.40, 31,064.40 and 17,282.40

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Solution

The fourth proportional to 20,738.40, 31,064.40 and 17,282.40 is: 25,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738.40 : 31,064.40 = 17,282.40 : x
  2. Step 2: Convert to fraction form
    20,738.40/31,064.40 = 17,282.40/x
  3. Step 3: Cross multiply
    20,738.40x = 31,064.40 × 17,282.40
  4. Step 4: Simplify right side
    20,738.40x = 536,867,386.56
  5. Step 5: Solve for x
    x = 536,867,386.56/20,738.40
  6. Step 6: Final answer
    x = 25,887.60

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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.