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Finding the Fourth Proportional to 16,842.32, 23,242.44 and 9,390.80

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Solution

The fourth proportional to 16,842.32, 23,242.44 and 9,390.80 is: 12,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.32 : 23,242.44 = 9,390.80 : x
  2. Step 2: Convert to fraction form
    16,842.32/23,242.44 = 9,390.80/x
  3. Step 3: Cross multiply
    16,842.32x = 23,242.44 × 9,390.80
  4. Step 4: Simplify right side
    16,842.32x = 218,265,105.55
  5. Step 5: Solve for x
    x = 218,265,105.55/16,842.32
  6. Step 6: Final answer
    x = 12,959.33

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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.