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Finding the Fourth Proportional to 14,338, 21,504.36 and 3,948.40

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Solution

The fourth proportional to 14,338, 21,504.36 and 3,948.40 is: 5,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338 : 21,504.36 = 3,948.40 : x
  2. Step 2: Convert to fraction form
    14,338/21,504.36 = 3,948.40/x
  3. Step 3: Cross multiply
    14,338x = 21,504.36 × 3,948.40
  4. Step 4: Simplify right side
    14,338x = 84,907,815.02
  5. Step 5: Solve for x
    x = 84,907,815.02/14,338
  6. Step 6: Final answer
    x = 5,921.87

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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.