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Finding the Fourth Proportional to 27,476.12, 41,182.74 and 10,827

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Solution

The fourth proportional to 27,476.12, 41,182.74 and 10,827 is: 16,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.12 : 41,182.74 = 10,827 : x
  2. Step 2: Convert to fraction form
    27,476.12/41,182.74 = 10,827/x
  3. Step 3: Cross multiply
    27,476.12x = 41,182.74 × 10,827
  4. Step 4: Simplify right side
    27,476.12x = 445,885,525.98
  5. Step 5: Solve for x
    x = 445,885,525.98/27,476.12
  6. Step 6: Final answer
    x = 16,228.11

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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.