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Finding the Fourth Proportional to 12,204.41, 16,842.53 and 6,898.91

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Solution

The fourth proportional to 12,204.41, 16,842.53 and 6,898.91 is: 9,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.41 : 16,842.53 = 6,898.91 : x
  2. Step 2: Convert to fraction form
    12,204.41/16,842.53 = 6,898.91/x
  3. Step 3: Cross multiply
    12,204.41x = 16,842.53 × 6,898.91
  4. Step 4: Simplify right side
    12,204.41x = 116,195,031.68
  5. Step 5: Solve for x
    x = 116,195,031.68/12,204.41
  6. Step 6: Final answer
    x = 9,520.75

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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.