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Finding the Fourth Proportional to 14,339.62, 19,788.02 and 7,966.65

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Solution

The fourth proportional to 14,339.62, 19,788.02 and 7,966.65 is: 10,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,339.62 : 19,788.02 = 7,966.65 : x
  2. Step 2: Convert to fraction form
    14,339.62/19,788.02 = 7,966.65/x
  3. Step 3: Cross multiply
    14,339.62x = 19,788.02 × 7,966.65
  4. Step 4: Simplify right side
    14,339.62x = 157,644,229.53
  5. Step 5: Solve for x
    x = 157,644,229.53/14,339.62
  6. Step 6: Final answer
    x = 10,993.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.