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Finding the Fourth Proportional to 14,614.64, 21,930.88 and 6,824

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Solution

The fourth proportional to 14,614.64, 21,930.88 and 6,824 is: 10,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.64 : 21,930.88 = 6,824 : x
  2. Step 2: Convert to fraction form
    14,614.64/21,930.88 = 6,824/x
  3. Step 3: Cross multiply
    14,614.64x = 21,930.88 × 6,824
  4. Step 4: Simplify right side
    14,614.64x = 149,656,325.12
  5. Step 5: Solve for x
    x = 149,656,325.12/14,614.64
  6. Step 6: Final answer
    x = 10,240.17

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Why These Related Problems?

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