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Finding the Fourth Proportional to 27,801.45, 41,702.22 and 10,264.14

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Solution

The fourth proportional to 27,801.45, 41,702.22 and 10,264.14 is: 15,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.45 : 41,702.22 = 10,264.14 : x
  2. Step 2: Convert to fraction form
    27,801.45/41,702.22 = 10,264.14/x
  3. Step 3: Cross multiply
    27,801.45x = 41,702.22 × 10,264.14
  4. Step 4: Simplify right side
    27,801.45x = 428,037,424.39
  5. Step 5: Solve for x
    x = 428,037,424.39/27,801.45
  6. Step 6: Final answer
    x = 15,396.23

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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.