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Finding the Fourth Proportional to 27,476.38, 41,184.29 and 17,977.28

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Solution

The fourth proportional to 27,476.38, 41,184.29 and 17,977.28 is: 26,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.38 : 41,184.29 = 17,977.28 : x
  2. Step 2: Convert to fraction form
    27,476.38/41,184.29 = 17,977.28/x
  3. Step 3: Cross multiply
    27,476.38x = 41,184.29 × 17,977.28
  4. Step 4: Simplify right side
    27,476.38x = 740,381,512.93
  5. Step 5: Solve for x
    x = 740,381,512.93/27,476.38
  6. Step 6: Final answer
    x = 26,946.11

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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.