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Finding the Fourth Proportional to 16,930.74, 23,359.10 and 9,855.84

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Solution

The fourth proportional to 16,930.74, 23,359.10 and 9,855.84 is: 13,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930.74 : 23,359.10 = 9,855.84 : x
  2. Step 2: Convert to fraction form
    16,930.74/23,359.10 = 9,855.84/x
  3. Step 3: Cross multiply
    16,930.74x = 23,359.10 × 9,855.84
  4. Step 4: Simplify right side
    16,930.74x = 230,223,552.14
  5. Step 5: Solve for x
    x = 230,223,552.14/16,930.74
  6. Step 6: Final answer
    x = 13,597.96

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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.