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Finding the Fourth Proportional to 20,121.40, 27,411.76 and 20,121.40

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Solution

The fourth proportional to 20,121.40, 27,411.76 and 20,121.40 is: 27,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.40 : 27,411.76 = 20,121.40 : x
  2. Step 2: Convert to fraction form
    20,121.40/27,411.76 = 20,121.40/x
  3. Step 3: Cross multiply
    20,121.40x = 27,411.76 × 20,121.40
  4. Step 4: Simplify right side
    20,121.40x = 551,562,987.66
  5. Step 5: Solve for x
    x = 551,562,987.66/20,121.40
  6. Step 6: Final answer
    x = 27,411.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.