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Finding the Fourth Proportional to 27,702.32, 41,553.47 and 6,925.82

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Solution

The fourth proportional to 27,702.32, 41,553.47 and 6,925.82 is: 10,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.32 : 41,553.47 = 6,925.82 : x
  2. Step 2: Convert to fraction form
    27,702.32/41,553.47 = 6,925.82/x
  3. Step 3: Cross multiply
    27,702.32x = 41,553.47 × 6,925.82
  4. Step 4: Simplify right side
    27,702.32x = 287,791,818.97
  5. Step 5: Solve for x
    x = 287,791,818.97/27,702.32
  6. Step 6: Final answer
    x = 10,388.73

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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.