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Finding the Fourth Proportional to 21,254.80, 31,883.40 and 6,464.20

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Solution

The fourth proportional to 21,254.80, 31,883.40 and 6,464.20 is: 9,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.80 : 31,883.40 = 6,464.20 : x
  2. Step 2: Convert to fraction form
    21,254.80/31,883.40 = 6,464.20/x
  3. Step 3: Cross multiply
    21,254.80x = 31,883.40 × 6,464.20
  4. Step 4: Simplify right side
    21,254.80x = 206,100,674.28
  5. Step 5: Solve for x
    x = 206,100,674.28/21,254.80
  6. Step 6: Final answer
    x = 9,696.66

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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.