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Finding the Fourth Proportional to 20,561.82, 30,838.12 and 9,457.85

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Solution

The fourth proportional to 20,561.82, 30,838.12 and 9,457.85 is: 14,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.82 : 30,838.12 = 9,457.85 : x
  2. Step 2: Convert to fraction form
    20,561.82/30,838.12 = 9,457.85/x
  3. Step 3: Cross multiply
    20,561.82x = 30,838.12 × 9,457.85
  4. Step 4: Simplify right side
    20,561.82x = 291,662,135.41
  5. Step 5: Solve for x
    x = 291,662,135.41/20,561.82
  6. Step 6: Final answer
    x = 14,184.65

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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.