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Finding the Fourth Proportional to 14,743.87, 22,063.87 and 9,199.83

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Solution

The fourth proportional to 14,743.87, 22,063.87 and 9,199.83 is: 13,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.87 : 22,063.87 = 9,199.83 : x
  2. Step 2: Convert to fraction form
    14,743.87/22,063.87 = 9,199.83/x
  3. Step 3: Cross multiply
    14,743.87x = 22,063.87 × 9,199.83
  4. Step 4: Simplify right side
    14,743.87x = 202,983,696.82
  5. Step 5: Solve for x
    x = 202,983,696.82/14,743.87
  6. Step 6: Final answer
    x = 13,767.33

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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.