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Finding the Fourth Proportional to 16,842.30, 23,243.68 and 9,289.32

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Solution

The fourth proportional to 16,842.30, 23,243.68 and 9,289.32 is: 12,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.30 : 23,243.68 = 9,289.32 : x
  2. Step 2: Convert to fraction form
    16,842.30/23,243.68 = 9,289.32/x
  3. Step 3: Cross multiply
    16,842.30x = 23,243.68 × 9,289.32
  4. Step 4: Simplify right side
    16,842.30x = 215,917,981.50
  5. Step 5: Solve for x
    x = 215,917,981.50/16,842.30
  6. Step 6: Final answer
    x = 12,819.98

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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.