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Finding the Fourth Proportional to 27,963.04, 41,951.82 and 10,433

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Solution

The fourth proportional to 27,963.04, 41,951.82 and 10,433 is: 15,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.04 : 41,951.82 = 10,433 : x
  2. Step 2: Convert to fraction form
    27,963.04/41,951.82 = 10,433/x
  3. Step 3: Cross multiply
    27,963.04x = 41,951.82 × 10,433
  4. Step 4: Simplify right side
    27,963.04x = 437,683,338.06
  5. Step 5: Solve for x
    x = 437,683,338.06/27,963.04
  6. Step 6: Final answer
    x = 15,652.21

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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.