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Finding the Fourth Proportional to 21,318.16, 31,991.84 and 7,467.20

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Solution

The fourth proportional to 21,318.16, 31,991.84 and 7,467.20 is: 11,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.16 : 31,991.84 = 7,467.20 : x
  2. Step 2: Convert to fraction form
    21,318.16/31,991.84 = 7,467.20/x
  3. Step 3: Cross multiply
    21,318.16x = 31,991.84 × 7,467.20
  4. Step 4: Simplify right side
    21,318.16x = 238,889,467.65
  5. Step 5: Solve for x
    x = 238,889,467.65/21,318.16
  6. Step 6: Final answer
    x = 11,205.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.