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Finding the Fourth Proportional to 20,117.45, 28,222.75 and 20,117.45

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Solution

The fourth proportional to 20,117.45, 28,222.75 and 20,117.45 is: 28,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.45 : 28,222.75 = 20,117.45 : x
  2. Step 2: Convert to fraction form
    20,117.45/28,222.75 = 20,117.45/x
  3. Step 3: Cross multiply
    20,117.45x = 28,222.75 × 20,117.45
  4. Step 4: Simplify right side
    20,117.45x = 567,769,761.99
  5. Step 5: Solve for x
    x = 567,769,761.99/20,117.45
  6. Step 6: Final answer
    x = 28,222.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.