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Finding the Fourth Proportional to 18,253.76, 27,387.21 and 6,410.80

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Solution

The fourth proportional to 18,253.76, 27,387.21 and 6,410.80 is: 9,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,253.76 : 27,387.21 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    18,253.76/27,387.21 = 6,410.80/x
  3. Step 3: Cross multiply
    18,253.76x = 27,387.21 × 6,410.80
  4. Step 4: Simplify right side
    18,253.76x = 175,573,830.09
  5. Step 5: Solve for x
    x = 175,573,830.09/18,253.76
  6. Step 6: Final answer
    x = 9,618.50

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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.