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Finding the Fourth Proportional to 14,635.17, 20,196.36 and 7,920.64

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Solution

The fourth proportional to 14,635.17, 20,196.36 and 7,920.64 is: 10,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.17 : 20,196.36 = 7,920.64 : x
  2. Step 2: Convert to fraction form
    14,635.17/20,196.36 = 7,920.64/x
  3. Step 3: Cross multiply
    14,635.17x = 20,196.36 × 7,920.64
  4. Step 4: Simplify right side
    14,635.17x = 159,968,046.38
  5. Step 5: Solve for x
    x = 159,968,046.38/14,635.17
  6. Step 6: Final answer
    x = 10,930.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.