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Finding the Fourth Proportional to 18,042.75, 27,075.06 and 7,654.50

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Solution

The fourth proportional to 18,042.75, 27,075.06 and 7,654.50 is: 11,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 27,075.06 = 7,654.50 : x
  2. Step 2: Convert to fraction form
    18,042.75/27,075.06 = 7,654.50/x
  3. Step 3: Cross multiply
    18,042.75x = 27,075.06 × 7,654.50
  4. Step 4: Simplify right side
    18,042.75x = 207,246,046.77
  5. Step 5: Solve for x
    x = 207,246,046.77/18,042.75
  6. Step 6: Final answer
    x = 11,486.39

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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.