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Finding the Fourth Proportional to 20,138.12, 27,809.46 and 12,980.60

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Solution

The fourth proportional to 20,138.12, 27,809.46 and 12,980.60 is: 17,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.12 : 27,809.46 = 12,980.60 : x
  2. Step 2: Convert to fraction form
    20,138.12/27,809.46 = 12,980.60/x
  3. Step 3: Cross multiply
    20,138.12x = 27,809.46 × 12,980.60
  4. Step 4: Simplify right side
    20,138.12x = 360,983,476.48
  5. Step 5: Solve for x
    x = 360,983,476.48/20,138.12
  6. Step 6: Final answer
    x = 17,925.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.