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Finding the Fourth Proportional to 14,634.50, 20,195.66 and 7,920.12

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Solution

The fourth proportional to 14,634.50, 20,195.66 and 7,920.12 is: 10,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.50 : 20,195.66 = 7,920.12 : x
  2. Step 2: Convert to fraction form
    14,634.50/20,195.66 = 7,920.12/x
  3. Step 3: Cross multiply
    14,634.50x = 20,195.66 × 7,920.12
  4. Step 4: Simplify right side
    14,634.50x = 159,952,032.61
  5. Step 5: Solve for x
    x = 159,952,032.61/14,634.50
  6. Step 6: Final answer
    x = 10,929.80

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