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Finding the Fourth Proportional to 21,003.26, 31,505.49 and 7,853.12

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Solution

The fourth proportional to 21,003.26, 31,505.49 and 7,853.12 is: 11,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.26 : 31,505.49 = 7,853.12 : x
  2. Step 2: Convert to fraction form
    21,003.26/31,505.49 = 7,853.12/x
  3. Step 3: Cross multiply
    21,003.26x = 31,505.49 × 7,853.12
  4. Step 4: Simplify right side
    21,003.26x = 247,416,236.10
  5. Step 5: Solve for x
    x = 247,416,236.10/21,003.26
  6. Step 6: Final answer
    x = 11,779.90

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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.