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Finding the Fourth Proportional to 14,296.08, 21,414.72 and 6,878.64

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Solution

The fourth proportional to 14,296.08, 21,414.72 and 6,878.64 is: 10,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.08 : 21,414.72 = 6,878.64 : x
  2. Step 2: Convert to fraction form
    14,296.08/21,414.72 = 6,878.64/x
  3. Step 3: Cross multiply
    14,296.08x = 21,414.72 × 6,878.64
  4. Step 4: Simplify right side
    14,296.08x = 147,304,149.58
  5. Step 5: Solve for x
    x = 147,304,149.58/14,296.08
  6. Step 6: Final answer
    x = 10,303.81

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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.