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Finding the Fourth Proportional to 14,834.32, 20,471.06 and 8,119.82

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Solution

The fourth proportional to 14,834.32, 20,471.06 and 8,119.82 is: 11,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.32 : 20,471.06 = 8,119.82 : x
  2. Step 2: Convert to fraction form
    14,834.32/20,471.06 = 8,119.82/x
  3. Step 3: Cross multiply
    14,834.32x = 20,471.06 × 8,119.82
  4. Step 4: Simplify right side
    14,834.32x = 166,221,322.41
  5. Step 5: Solve for x
    x = 166,221,322.41/14,834.32
  6. Step 6: Final answer
    x = 11,205.19

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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.