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Finding the Fourth Proportional to 16,828, 23,222.80 and 9,376.16

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Solution

The fourth proportional to 16,828, 23,222.80 and 9,376.16 is: 12,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828 : 23,222.80 = 9,376.16 : x
  2. Step 2: Convert to fraction form
    16,828/23,222.80 = 9,376.16/x
  3. Step 3: Cross multiply
    16,828x = 23,222.80 × 9,376.16
  4. Step 4: Simplify right side
    16,828x = 217,740,688.45
  5. Step 5: Solve for x
    x = 217,740,688.45/16,828
  6. Step 6: Final answer
    x = 12,939.19

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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.