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Finding the Fourth Proportional to 19,179.65, 28,772.31 and 9,824.96

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Solution

The fourth proportional to 19,179.65, 28,772.31 and 9,824.96 is: 14,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,179.65 : 28,772.31 = 9,824.96 : x
  2. Step 2: Convert to fraction form
    19,179.65/28,772.31 = 9,824.96/x
  3. Step 3: Cross multiply
    19,179.65x = 28,772.31 × 9,824.96
  4. Step 4: Simplify right side
    19,179.65x = 282,686,794.86
  5. Step 5: Solve for x
    x = 282,686,794.86/19,179.65
  6. Step 6: Final answer
    x = 14,738.89

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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.