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Finding the Fourth Proportional to 27,182.13, 40,765.80 and 7,455.99

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Solution

The fourth proportional to 27,182.13, 40,765.80 and 7,455.99 is: 11,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.13 : 40,765.80 = 7,455.99 : x
  2. Step 2: Convert to fraction form
    27,182.13/40,765.80 = 7,455.99/x
  3. Step 3: Cross multiply
    27,182.13x = 40,765.80 × 7,455.99
  4. Step 4: Simplify right side
    27,182.13x = 303,949,397.14
  5. Step 5: Solve for x
    x = 303,949,397.14/27,182.13
  6. Step 6: Final answer
    x = 11,181.96

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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.