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Finding the Fourth Proportional to 21,101.09, 31,657.25 and 6,310.15

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Solution

The fourth proportional to 21,101.09, 31,657.25 and 6,310.15 is: 9,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.09 : 31,657.25 = 6,310.15 : x
  2. Step 2: Convert to fraction form
    21,101.09/31,657.25 = 6,310.15/x
  3. Step 3: Cross multiply
    21,101.09x = 31,657.25 × 6,310.15
  4. Step 4: Simplify right side
    21,101.09x = 199,761,885.39
  5. Step 5: Solve for x
    x = 199,761,885.39/21,101.09
  6. Step 6: Final answer
    x = 9,466.90

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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.