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Finding the Fourth Proportional to 14,834.96, 20,471.45 and 8,459.85

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Solution

The fourth proportional to 14,834.96, 20,471.45 and 8,459.85 is: 11,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.96 : 20,471.45 = 8,459.85 : x
  2. Step 2: Convert to fraction form
    14,834.96/20,471.45 = 8,459.85/x
  3. Step 3: Cross multiply
    14,834.96x = 20,471.45 × 8,459.85
  4. Step 4: Simplify right side
    14,834.96x = 173,185,396.28
  5. Step 5: Solve for x
    x = 173,185,396.28/14,834.96
  6. Step 6: Final answer
    x = 11,674.14

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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.