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Finding the Fourth Proportional to 16,705.53, 23,057.33 and 11,673

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Solution

The fourth proportional to 16,705.53, 23,057.33 and 11,673 is: 16,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.53 : 23,057.33 = 11,673 : x
  2. Step 2: Convert to fraction form
    16,705.53/23,057.33 = 11,673/x
  3. Step 3: Cross multiply
    16,705.53x = 23,057.33 × 11,673
  4. Step 4: Simplify right side
    16,705.53x = 269,148,154.73
  5. Step 5: Solve for x
    x = 269,148,154.73/16,705.53
  6. Step 6: Final answer
    x = 16,111.32

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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.