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Finding the Fourth Proportional to 12,219.66, 16,861.71 and 6,842.40

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Solution

The fourth proportional to 12,219.66, 16,861.71 and 6,842.40 is: 9,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.66 : 16,861.71 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    12,219.66/16,861.71 = 6,842.40/x
  3. Step 3: Cross multiply
    12,219.66x = 16,861.71 × 6,842.40
  4. Step 4: Simplify right side
    12,219.66x = 115,374,564.50
  5. Step 5: Solve for x
    x = 115,374,564.50/12,219.66
  6. Step 6: Final answer
    x = 9,441.72

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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.