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Finding the Fourth Proportional to 27,678.37, 41,518.01 and 8,702.42

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Solution

The fourth proportional to 27,678.37, 41,518.01 and 8,702.42 is: 13,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.37 : 41,518.01 = 8,702.42 : x
  2. Step 2: Convert to fraction form
    27,678.37/41,518.01 = 8,702.42/x
  3. Step 3: Cross multiply
    27,678.37x = 41,518.01 × 8,702.42
  4. Step 4: Simplify right side
    27,678.37x = 361,306,952.99
  5. Step 5: Solve for x
    x = 361,306,952.99/27,678.37
  6. Step 6: Final answer
    x = 13,053.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.