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Finding the Fourth Proportional to 14,338.16, 21,506.78 and 3,949.82

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Solution

The fourth proportional to 14,338.16, 21,506.78 and 3,949.82 is: 5,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.16 : 21,506.78 = 3,949.82 : x
  2. Step 2: Convert to fraction form
    14,338.16/21,506.78 = 3,949.82/x
  3. Step 3: Cross multiply
    14,338.16x = 21,506.78 × 3,949.82
  4. Step 4: Simplify right side
    14,338.16x = 84,947,812.12
  5. Step 5: Solve for x
    x = 84,947,812.12/14,338.16
  6. Step 6: Final answer
    x = 5,924.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.