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Finding the Fourth Proportional to 14,993.82, 22,486.80 and 4,461

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Solution

The fourth proportional to 14,993.82, 22,486.80 and 4,461 is: 6,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.82 : 22,486.80 = 4,461 : x
  2. Step 2: Convert to fraction form
    14,993.82/22,486.80 = 4,461/x
  3. Step 3: Cross multiply
    14,993.82x = 22,486.80 × 4,461
  4. Step 4: Simplify right side
    14,993.82x = 100,313,614.80
  5. Step 5: Solve for x
    x = 100,313,614.80/14,993.82
  6. Step 6: Final answer
    x = 6,690.33

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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.