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Finding the Fourth Proportional to 27,199.28, 40,803.03 and 9,664.94

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Solution

The fourth proportional to 27,199.28, 40,803.03 and 9,664.94 is: 14,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.28 : 40,803.03 = 9,664.94 : x
  2. Step 2: Convert to fraction form
    27,199.28/40,803.03 = 9,664.94/x
  3. Step 3: Cross multiply
    27,199.28x = 40,803.03 × 9,664.94
  4. Step 4: Simplify right side
    27,199.28x = 394,358,836.77
  5. Step 5: Solve for x
    x = 394,358,836.77/27,199.28
  6. Step 6: Final answer
    x = 14,498.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.