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Finding the Fourth Proportional to 14,551.44, 21,827.16 and 6,756

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Solution

The fourth proportional to 14,551.44, 21,827.16 and 6,756 is: 10,134

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.44 : 21,827.16 = 6,756 : x
  2. Step 2: Convert to fraction form
    14,551.44/21,827.16 = 6,756/x
  3. Step 3: Cross multiply
    14,551.44x = 21,827.16 × 6,756
  4. Step 4: Simplify right side
    14,551.44x = 147,464,292.96
  5. Step 5: Solve for x
    x = 147,464,292.96/14,551.44
  6. Step 6: Final answer
    x = 10,134

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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.