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Finding the Fourth Proportional to 16,842.40, 23,235.87 and 9,764.62

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Solution

The fourth proportional to 16,842.40, 23,235.87 and 9,764.62 is: 13,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.40 : 23,235.87 = 9,764.62 : x
  2. Step 2: Convert to fraction form
    16,842.40/23,235.87 = 9,764.62/x
  3. Step 3: Cross multiply
    16,842.40x = 23,235.87 × 9,764.62
  4. Step 4: Simplify right side
    16,842.40x = 226,889,440.92
  5. Step 5: Solve for x
    x = 226,889,440.92/16,842.40
  6. Step 6: Final answer
    x = 13,471.32

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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.