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Finding the Fourth Proportional to 20,223.20, 28,370.80 and 20,223.20

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Solution

The fourth proportional to 20,223.20, 28,370.80 and 20,223.20 is: 28,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.20 : 28,370.80 = 20,223.20 : x
  2. Step 2: Convert to fraction form
    20,223.20/28,370.80 = 20,223.20/x
  3. Step 3: Cross multiply
    20,223.20x = 28,370.80 × 20,223.20
  4. Step 4: Simplify right side
    20,223.20x = 573,748,362.56
  5. Step 5: Solve for x
    x = 573,748,362.56/20,223.20
  6. Step 6: Final answer
    x = 28,370.80

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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.