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Finding the Fourth Proportional to 16,842.74, 23,243.16 and 9,289.40

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Solution

The fourth proportional to 16,842.74, 23,243.16 and 9,289.40 is: 12,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.74 : 23,243.16 = 9,289.40 : x
  2. Step 2: Convert to fraction form
    16,842.74/23,243.16 = 9,289.40/x
  3. Step 3: Cross multiply
    16,842.74x = 23,243.16 × 9,289.40
  4. Step 4: Simplify right side
    16,842.74x = 215,915,010.50
  5. Step 5: Solve for x
    x = 215,915,010.50/16,842.74
  6. Step 6: Final answer
    x = 12,819.47

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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.