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Finding the Fourth Proportional to 16,842.36, 23,243.52 and 9,288.70

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Solution

The fourth proportional to 16,842.36, 23,243.52 and 9,288.70 is: 12,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.36 : 23,243.52 = 9,288.70 : x
  2. Step 2: Convert to fraction form
    16,842.36/23,243.52 = 9,288.70/x
  3. Step 3: Cross multiply
    16,842.36x = 23,243.52 × 9,288.70
  4. Step 4: Simplify right side
    16,842.36x = 215,902,084.22
  5. Step 5: Solve for x
    x = 215,902,084.22/16,842.36
  6. Step 6: Final answer
    x = 12,819.00

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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.