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Finding the Fourth Proportional to 27,059.17, 40,589.45 and 12,824.32

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Solution

The fourth proportional to 27,059.17, 40,589.45 and 12,824.32 is: 19,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059.17 : 40,589.45 = 12,824.32 : x
  2. Step 2: Convert to fraction form
    27,059.17/40,589.45 = 12,824.32/x
  3. Step 3: Cross multiply
    27,059.17x = 40,589.45 × 12,824.32
  4. Step 4: Simplify right side
    27,059.17x = 520,532,031.30
  5. Step 5: Solve for x
    x = 520,532,031.30/27,059.17
  6. Step 6: Final answer
    x = 19,236.81

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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.