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Finding the Fourth Proportional to 21,009.54, 31,504.68 and 6,213.18

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Solution

The fourth proportional to 21,009.54, 31,504.68 and 6,213.18 is: 9,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.54 : 31,504.68 = 6,213.18 : x
  2. Step 2: Convert to fraction form
    21,009.54/31,504.68 = 6,213.18/x
  3. Step 3: Cross multiply
    21,009.54x = 31,504.68 × 6,213.18
  4. Step 4: Simplify right side
    21,009.54x = 195,744,247.68
  5. Step 5: Solve for x
    x = 195,744,247.68/21,009.54
  6. Step 6: Final answer
    x = 9,316.92

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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.