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Finding the Fourth Proportional to 21,187.10, 31,772.82 and 6,391.64

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Solution

The fourth proportional to 21,187.10, 31,772.82 and 6,391.64 is: 9,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.10 : 31,772.82 = 6,391.64 : x
  2. Step 2: Convert to fraction form
    21,187.10/31,772.82 = 6,391.64/x
  3. Step 3: Cross multiply
    21,187.10x = 31,772.82 × 6,391.64
  4. Step 4: Simplify right side
    21,187.10x = 203,080,427.22
  5. Step 5: Solve for x
    x = 203,080,427.22/21,187.10
  6. Step 6: Final answer
    x = 9,585.10

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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.