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Finding the Fourth Proportional to 12,219.03, 16,842.59 and 8,233.22

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Solution

The fourth proportional to 12,219.03, 16,842.59 and 8,233.22 is: 11,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.03 : 16,842.59 = 8,233.22 : x
  2. Step 2: Convert to fraction form
    12,219.03/16,842.59 = 8,233.22/x
  3. Step 3: Cross multiply
    12,219.03x = 16,842.59 × 8,233.22
  4. Step 4: Simplify right side
    12,219.03x = 138,668,748.84
  5. Step 5: Solve for x
    x = 138,668,748.84/12,219.03
  6. Step 6: Final answer
    x = 11,348.59

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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.