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Finding the Fourth Proportional to 27,346.61, 40,997.14 and 11,563.76

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Solution

The fourth proportional to 27,346.61, 40,997.14 and 11,563.76 is: 17,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.61 : 40,997.14 = 11,563.76 : x
  2. Step 2: Convert to fraction form
    27,346.61/40,997.14 = 11,563.76/x
  3. Step 3: Cross multiply
    27,346.61x = 40,997.14 × 11,563.76
  4. Step 4: Simplify right side
    27,346.61x = 474,081,161.23
  5. Step 5: Solve for x
    x = 474,081,161.23/27,346.61
  6. Step 6: Final answer
    x = 17,336.01

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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.