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Finding the Fourth Proportional to 14,647.85, 20,214.09 and 7,933.46

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Solution

The fourth proportional to 14,647.85, 20,214.09 and 7,933.46 is: 10,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.85 : 20,214.09 = 7,933.46 : x
  2. Step 2: Convert to fraction form
    14,647.85/20,214.09 = 7,933.46/x
  3. Step 3: Cross multiply
    14,647.85x = 20,214.09 × 7,933.46
  4. Step 4: Simplify right side
    14,647.85x = 160,367,634.78
  5. Step 5: Solve for x
    x = 160,367,634.78/14,647.85
  6. Step 6: Final answer
    x = 10,948.20

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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.