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Finding the Fourth Proportional to 21,486.19, 32,242.24 and 9,174.19

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Solution

The fourth proportional to 21,486.19, 32,242.24 and 9,174.19 is: 13,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.19 : 32,242.24 = 9,174.19 : x
  2. Step 2: Convert to fraction form
    21,486.19/32,242.24 = 9,174.19/x
  3. Step 3: Cross multiply
    21,486.19x = 32,242.24 × 9,174.19
  4. Step 4: Simplify right side
    21,486.19x = 295,796,366.65
  5. Step 5: Solve for x
    x = 295,796,366.65/21,486.19
  6. Step 6: Final answer
    x = 13,766.81

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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.