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Finding the Fourth Proportional to 12,204.77, 16,842.02 and 6,898.55

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Solution

The fourth proportional to 12,204.77, 16,842.02 and 6,898.55 is: 9,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.77 : 16,842.02 = 6,898.55 : x
  2. Step 2: Convert to fraction form
    12,204.77/16,842.02 = 6,898.55/x
  3. Step 3: Cross multiply
    12,204.77x = 16,842.02 × 6,898.55
  4. Step 4: Simplify right side
    12,204.77x = 116,185,398.37
  5. Step 5: Solve for x
    x = 116,185,398.37/12,204.77
  6. Step 6: Final answer
    x = 9,519.68

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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.