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Finding the Fourth Proportional to 27,702.42, 41,553.63 and 6,925.92

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Solution

The fourth proportional to 27,702.42, 41,553.63 and 6,925.92 is: 10,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.42 : 41,553.63 = 6,925.92 : x
  2. Step 2: Convert to fraction form
    27,702.42/41,553.63 = 6,925.92/x
  3. Step 3: Cross multiply
    27,702.42x = 41,553.63 × 6,925.92
  4. Step 4: Simplify right side
    27,702.42x = 287,797,214.48
  5. Step 5: Solve for x
    x = 287,797,214.48/27,702.42
  6. Step 6: Final answer
    x = 10,388.88

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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.