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Finding the Fourth Proportional to 18,137.46, 27,205.65 and 6,442.50

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Solution

The fourth proportional to 18,137.46, 27,205.65 and 6,442.50 is: 9,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.46 : 27,205.65 = 6,442.50 : x
  2. Step 2: Convert to fraction form
    18,137.46/27,205.65 = 6,442.50/x
  3. Step 3: Cross multiply
    18,137.46x = 27,205.65 × 6,442.50
  4. Step 4: Simplify right side
    18,137.46x = 175,272,400.13
  5. Step 5: Solve for x
    x = 175,272,400.13/18,137.46
  6. Step 6: Final answer
    x = 9,663.56

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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.