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Finding the Fourth Proportional to 14,747.66, 22,120.14 and 9,468.80

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Solution

The fourth proportional to 14,747.66, 22,120.14 and 9,468.80 is: 14,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.66 : 22,120.14 = 9,468.80 : x
  2. Step 2: Convert to fraction form
    14,747.66/22,120.14 = 9,468.80/x
  3. Step 3: Cross multiply
    14,747.66x = 22,120.14 × 9,468.80
  4. Step 4: Simplify right side
    14,747.66x = 209,451,181.63
  5. Step 5: Solve for x
    x = 209,451,181.63/14,747.66
  6. Step 6: Final answer
    x = 14,202.33

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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.