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Finding the Fourth Proportional to 18,187.61, 27,285.86 and 6,339.74

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Solution

The fourth proportional to 18,187.61, 27,285.86 and 6,339.74 is: 9,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187.61 : 27,285.86 = 6,339.74 : x
  2. Step 2: Convert to fraction form
    18,187.61/27,285.86 = 6,339.74/x
  3. Step 3: Cross multiply
    18,187.61x = 27,285.86 × 6,339.74
  4. Step 4: Simplify right side
    18,187.61x = 172,985,137.50
  5. Step 5: Solve for x
    x = 172,985,137.50/18,187.61
  6. Step 6: Final answer
    x = 9,511.16

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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.