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Finding the Fourth Proportional to 16,828.24, 23,222.02 and 10,112.62

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Solution

The fourth proportional to 16,828.24, 23,222.02 and 10,112.62 is: 13,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.24 : 23,222.02 = 10,112.62 : x
  2. Step 2: Convert to fraction form
    16,828.24/23,222.02 = 10,112.62/x
  3. Step 3: Cross multiply
    16,828.24x = 23,222.02 × 10,112.62
  4. Step 4: Simplify right side
    16,828.24x = 234,835,463.89
  5. Step 5: Solve for x
    x = 234,835,463.89/16,828.24
  6. Step 6: Final answer
    x = 13,954.84

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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.