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Finding the Fourth Proportional to 12,204.81, 16,842.60 and 6,899.58

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Solution

The fourth proportional to 12,204.81, 16,842.60 and 6,899.58 is: 9,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.81 : 16,842.60 = 6,899.58 : x
  2. Step 2: Convert to fraction form
    12,204.81/16,842.60 = 6,899.58/x
  3. Step 3: Cross multiply
    12,204.81x = 16,842.60 × 6,899.58
  4. Step 4: Simplify right side
    12,204.81x = 116,206,866.11
  5. Step 5: Solve for x
    x = 116,206,866.11/12,204.81
  6. Step 6: Final answer
    x = 9,521.40

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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.