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Finding the Fourth Proportional to 18,042.32, 27,053.76 and 6,354.56

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Solution

The fourth proportional to 18,042.32, 27,053.76 and 6,354.56 is: 9,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.32 : 27,053.76 = 6,354.56 : x
  2. Step 2: Convert to fraction form
    18,042.32/27,053.76 = 6,354.56/x
  3. Step 3: Cross multiply
    18,042.32x = 27,053.76 × 6,354.56
  4. Step 4: Simplify right side
    18,042.32x = 171,914,741.15
  5. Step 5: Solve for x
    x = 171,914,741.15/18,042.32
  6. Step 6: Final answer
    x = 9,528.42

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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.