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Finding the Fourth Proportional to 19,596.80, 27,045.12 and 11,216

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Solution

The fourth proportional to 19,596.80, 27,045.12 and 11,216 is: 15,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.80 : 27,045.12 = 11,216 : x
  2. Step 2: Convert to fraction form
    19,596.80/27,045.12 = 11,216/x
  3. Step 3: Cross multiply
    19,596.80x = 27,045.12 × 11,216
  4. Step 4: Simplify right side
    19,596.80x = 303,338,065.92
  5. Step 5: Solve for x
    x = 303,338,065.92/19,596.80
  6. Step 6: Final answer
    x = 15,478.96

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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.