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Finding the Fourth Proportional to 14,614.10, 21,915.71 and 5,251.56

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Solution

The fourth proportional to 14,614.10, 21,915.71 and 5,251.56 is: 7,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.10 : 21,915.71 = 5,251.56 : x
  2. Step 2: Convert to fraction form
    14,614.10/21,915.71 = 5,251.56/x
  3. Step 3: Cross multiply
    14,614.10x = 21,915.71 × 5,251.56
  4. Step 4: Simplify right side
    14,614.10x = 115,091,668.44
  5. Step 5: Solve for x
    x = 115,091,668.44/14,614.10
  6. Step 6: Final answer
    x = 7,875.39

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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.