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Finding the Fourth Proportional to 27,681.97, 41,529.54 and 8,962

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Solution

The fourth proportional to 27,681.97, 41,529.54 and 8,962 is: 13,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.97 : 41,529.54 = 8,962 : x
  2. Step 2: Convert to fraction form
    27,681.97/41,529.54 = 8,962/x
  3. Step 3: Cross multiply
    27,681.97x = 41,529.54 × 8,962
  4. Step 4: Simplify right side
    27,681.97x = 372,187,737.48
  5. Step 5: Solve for x
    x = 372,187,737.48/27,681.97
  6. Step 6: Final answer
    x = 13,445.13

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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.