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Finding the Fourth Proportional to 14,705.23, 20,288.74 and 8,330.80

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Solution

The fourth proportional to 14,705.23, 20,288.74 and 8,330.80 is: 11,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.23 : 20,288.74 = 8,330.80 : x
  2. Step 2: Convert to fraction form
    14,705.23/20,288.74 = 8,330.80/x
  3. Step 3: Cross multiply
    14,705.23x = 20,288.74 × 8,330.80
  4. Step 4: Simplify right side
    14,705.23x = 169,021,435.19
  5. Step 5: Solve for x
    x = 169,021,435.19/14,705.23
  6. Step 6: Final answer
    x = 11,493.97

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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.