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Finding the Fourth Proportional to 21,274.65, 31,912.08 and 6,483.75

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Solution

The fourth proportional to 21,274.65, 31,912.08 and 6,483.75 is: 9,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.65 : 31,912.08 = 6,483.75 : x
  2. Step 2: Convert to fraction form
    21,274.65/31,912.08 = 6,483.75/x
  3. Step 3: Cross multiply
    21,274.65x = 31,912.08 × 6,483.75
  4. Step 4: Simplify right side
    21,274.65x = 206,909,804.72
  5. Step 5: Solve for x
    x = 206,909,804.72/21,274.65
  6. Step 6: Final answer
    x = 9,725.65

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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.