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Finding the Fourth Proportional to 30,651.72, 45,954.14 and 14,000.20

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Solution

The fourth proportional to 30,651.72, 45,954.14 and 14,000.20 is: 20,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.72 : 45,954.14 = 14,000.20 : x
  2. Step 2: Convert to fraction form
    30,651.72/45,954.14 = 14,000.20/x
  3. Step 3: Cross multiply
    30,651.72x = 45,954.14 × 14,000.20
  4. Step 4: Simplify right side
    30,651.72x = 643,367,150.83
  5. Step 5: Solve for x
    x = 643,367,150.83/30,651.72
  6. Step 6: Final answer
    x = 20,989.59

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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.