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Finding the Fourth Proportional to 20,006.52, 30,014.64 and 5,965.98

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Solution

The fourth proportional to 20,006.52, 30,014.64 and 5,965.98 is: 8,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.52 : 30,014.64 = 5,965.98 : x
  2. Step 2: Convert to fraction form
    20,006.52/30,014.64 = 5,965.98/x
  3. Step 3: Cross multiply
    20,006.52x = 30,014.64 × 5,965.98
  4. Step 4: Simplify right side
    20,006.52x = 179,066,741.95
  5. Step 5: Solve for x
    x = 179,066,741.95/20,006.52
  6. Step 6: Final answer
    x = 8,950.42

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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.