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Finding the Fourth Proportional to 16,833, 23,229.53 and 9,279.45

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Solution

The fourth proportional to 16,833, 23,229.53 and 9,279.45 is: 12,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833 : 23,229.53 = 9,279.45 : x
  2. Step 2: Convert to fraction form
    16,833/23,229.53 = 9,279.45/x
  3. Step 3: Cross multiply
    16,833x = 23,229.53 × 9,279.45
  4. Step 4: Simplify right side
    16,833x = 215,557,285.36
  5. Step 5: Solve for x
    x = 215,557,285.36/16,833
  6. Step 6: Final answer
    x = 12,805.64

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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.