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Finding the Fourth Proportional to 16,730.46, 25,099.83 and 11,809.71

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Solution

The fourth proportional to 16,730.46, 25,099.83 and 11,809.71 is: 17,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.46 : 25,099.83 = 11,809.71 : x
  2. Step 2: Convert to fraction form
    16,730.46/25,099.83 = 11,809.71/x
  3. Step 3: Cross multiply
    16,730.46x = 25,099.83 × 11,809.71
  4. Step 4: Simplify right side
    16,730.46x = 296,421,713.35
  5. Step 5: Solve for x
    x = 296,421,713.35/16,730.46
  6. Step 6: Final answer
    x = 17,717.49

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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.