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Finding the Fourth Proportional to 18,470.58, 27,718 and 6,783.90

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Solution

The fourth proportional to 18,470.58, 27,718 and 6,783.90 is: 10,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.58 : 27,718 = 6,783.90 : x
  2. Step 2: Convert to fraction form
    18,470.58/27,718 = 6,783.90/x
  3. Step 3: Cross multiply
    18,470.58x = 27,718 × 6,783.90
  4. Step 4: Simplify right side
    18,470.58x = 188,036,140.20
  5. Step 5: Solve for x
    x = 188,036,140.20/18,470.58
  6. Step 6: Final answer
    x = 10,180.31

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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.